Funding Sources: Consiliul National al Cercetarii Stiintifice & Uniunea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii Dezvoltarii si Inovarii

Grant no. 85/2017

Title: "Typical and Nontypical Eigenvalue Problems for Some Classes of Differential Operators"

Abstract: (PDF)

Objectives: (PDF)

TEAM: Mihai Mihailescu (project leader); Liviu Ignat; Nicusor Costea; Cristian Cazacu (former member: July 12, 2017 - October 31, 2018); Denisa Stancu-Dumitru; Aurora Marica; Tatiana Ignat; Maria Farcaseanu

HOST INSTITUTION: Institutul de Matematica "Simion Stoilow" al Academiei Romane

EVALUATION SHEET OF THE PROJECT FOR THE PERIOD JULY 12, 2017 – SEPTEMBER 30, 2019 (IN ROMANIAN): GRADE OF THE EVALUATION A+

PUBLICATIONS 2017:

• M. Bocea & M. Mihailescu: On a family of inhomogeneous torsional creep problems, Proceedings of the American Mathematical Society 145 (2017), 4397-4409. (pdf)

• M. Bocea & M. Mihailescu: Minimization Problems for Inhomogeneous Rayleigh Quotients, Communications in Contemporary Mathematics 20 (2018), 1750074, 13 pp. DOI: 10.1142/S0219199717500742 (pdf)

CONFERENCES 2017:

• 6th International Conference on Mathematics and Informatics, September 7-9, 2017, Targu Mures/Marosvasarhely, Romania (speaker: Mihai Mihailescu; title of the talk: Classification of isolated singularities for inhomogeneous operators in divergence form)

• 6th International Conference on Mathematics and Informatics, September 7-9, 2017, Targu Mures/Marosvasarhely, Romania (speaker: Cristian Cazacu; title of the talk: Schrödinger operators with singular potentials: some properties and applications)

• 6th International Conference on Mathematics and Informatics, September 7-9, 2017, Targu Mures/Marosvasarhely, Romania (speaker: Maria Farcaseanu; title of the talk: On a family of torsional creep problems involving rapidly growing operators in divergence form)

• 6th International Conference on Mathematics and Informatics, September 7-9, 2017, Targu Mures/Marosvasarhely, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: The asymptotic behavior of a class of $phi$-harmonic functions in Orlicz-Sobolev spaces)

• 6th International Conference on Mathematics and Informatics, September 7-9, 2017, Targu Mures/Marosvasarhely, Romania (speaker: Nicusor Costea; title of the talk: Partial differential inclusions involving $Phi$-Laplace operators)

• 6th International Conference on Mathematics and Informatics, September 7-9, 2017, Targu Mures/Marosvasarhely, Romania (speaker: Aurora Marica; title of the talk: Control and stabilization of waves on heterogeneous meshes)

• The 25th Conference on Applied and Industrial Mathematics - CAIM 2017, September 14-17, 2017, Iasi, Romania (speaker: Cristian Cazacu; title of the talk: Hardy inequalities and Hamiltonian operators: some applications to PDEs)

• Workshop on Pure and Applied Analysis , October 21, 2017, University of Craiova, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: Perturbed eigenvalue problems)

• Workshop on Pure and Applied Analysis , October 21, 2017, University of Craiova, Romania (speaker: Nicusor Costea; title of the talk: Inclusions problems involving inhomogeneous differential operators)

• Workshop on Pure and Applied Analysis , October 21, 2017, University of Craiova, Romania (speaker: Cristian Cazacu; title of the talk: The Hardy-Rellich inequality in any dimension)

• Workshop on Pure and Applied Analysis , October 21, 2017, University of Craiova, Romania (speaker: Maria Farcaseanu; title of the talk: On the convergence of the sequence of solutions for a family of eigenvalue problems)

• Workshop on Pure and Applied Analysis , October 21, 2017, University of Craiova, Romania (speaker: Liviu Ignat; title of the talk: Asymptotic behaviour for fractional diffusion- convection equations)

• Workshop on Pure and Applied Analysis , October 21, 2017, University of Craiova, Romania (speaker: Aurora Marica; title of the talk: Asymptotics for heat and Burgers equations (on networks) )

• Nonlinear Difference and Differential Equations and their Applications NODDEA'2017 , October 26-28, 2017, University of Ruse, Bulgaria (speaker: Mihai Mihailescu; title of the talk: Minimization Problems for Inhomogeneous Rayleigh Quotients)

• Nonlinear Difference and Differential Equations and their Applications NODDEA'2017 , October 26-28, 2017, University of Ruse, Bulgaria (speaker: Denisa Stancu-Dumitru; title of the talk: The convergence of nonnegative solutions for the family of problems $-\Delta_p u=\lambda e^u$ as $p\rightarrow\infty$)

• Nonlinear Difference and Differential Equations and their Applications NODDEA'2017 , October 26-28, 2017, University of Ruse, Bulgaria (speaker: Maria Farcaseanu; title of the talk: On a family of torsional creep problems involving rapidly growing operators in divergence form)

• Seminars hosted by the Chair of Computational Mathematics of Deusto Tech, November 14, 2017, University of Deusto, Bilbao, Spain (speaker: Liviu Ignat; title of the talk: Asymptotic behaviour for fractional diffusion-convection equations)

CONFERENCES/WORKSHOPS ORGANIZED 2017:

• Workshop on Pure and Applied Analysis, October 21, 2017, University of Craiova, Craiova, Romania (co-organizer: Mihai Mihailescu).

• Atelier de Travail en Equations aux Derivees Partielles, December 7-8, 2017, "Simion Stoilow" Institute of Mathematics of the Romanian Academy, Bucharest, Romania (organizeres: Liviu Ignat & Mihai Mihailescu).

INVITED RESEARCHERS/COLABORATORS:

• Gheorghe Morosanu (Central European University, Hungary) was invited for a research visit at the University of Craiova within the period 19/10/2017-22/10/2017 and to participate to the Workshop on Pure and Applied Analysis co-organized by the PI of this project. At the above mentioned workshop Gheorghe Morosanu presented the talk entitled On Hanusse-type chemical oscillators with diffusions.

• Constantin Costara ("Ovidius" University of Constanta, Romania) was invited at the University of Craiova to participate within the period 20/10/2017-22/10/2017 to the Workshop on Pure and Applied Analysis co-organized by the PI of this project. At the above mentioned workshop Constantin Costara presented the talk entitled Pseudospectral radius preservers on Banach spaces.

Ph.D DEFENSE:

• On 1st of November 2017 Tatiana Ignat obtained at IMAR the PhD degree with the thesis entitled Long time behaviour for nonlocal evolution equations.

AWARDS:

• Cristian Cazacu was awarded "Adelina Georgescu" Prize in 2017, by the Romanian Society of Applied and Industrial Mathematics (ROMAI).

SCIENTIFIC REPORT 2017 (PDF)

PUBLICATIONS 2018:

• M. Farcaseanu & M. Mihailescu: On a family of torsional creep problems involving rapidly growing operators in divergence form, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 149 (2019), 495-510. (pdf)

• N. Costea, G. Morosanu & C. Varga: Weak solvability for Dirichlet partial differential inclusions in Orlicz-Sobolev spaces, Advances in Differential Equations 23 (2018), 523-554. (pdf)

• M. Farcaseanu: On an eigenvalue problem involving the fractional (s,p)-Laplacian, Fractinal Calculus and Applied Analysis 21 (2018), 94-103. (pdf)

• D. Stancu-Dumitru: The asymptotic behavior of a class of $\phi$-harmonic functions in Orlicz-Sobolev space, Journal of Mathematical Analysis and Applications 463 (2018), 365-376. (pdf)

• M. Bocea & M. Mihailescu: On the existence and uniqueness of exponentally harmonic maps and some related problems, Israel Journal of Mathematics 230 (2019), 795-812. (pdf)

• M. Mihailescu & M. Perez-Llanos: Inhomogeneous torsional creep problems in anisotropic Orlicz-Sobolev spaces, Journal of Mathematical Physics, 59, 071513 (2018); doi: 10.1063/1.5047918. (pdf)

• L. I. Ignat & D. Stan: Asymptotic behavior of solutions to fractional diffusion–convection equations, Journal of London Mathematical Society 97 (2018), 258-281. (pdf)

• C. M. Cazacu, L. I. Ignat, & A. F. Pazoto: Null-controllability of the linear Kuramoto-Sivashinsky equation on star-shaped trees, SIAM Journal on Control and Optimization 56 (2018), 2921-2958. (pdf)

• M. Mihailescu & D. Stancu-Dumitru: On the spectrum of a nobtypical eigenvalue problem, Electronic Journal of Qualitative Theory of Differential Equations 87 (2018), 1-10. (PDF)

CONFERENCES 2018:

• Sextas Jornadas de Analisis Matematico en Alicante, January 24-26, 2018, University of Alicante, Spain (speaker: Mihai Mihailescu; title of the talk: Minimization Problems for Inhomogeneous Rayleigh Quotients)

• Workshop on Differential Equations, April 4-6, 2018, Central European University, Budapest, Hungary (speaker: Mihai Mihailescu; title of the talk: Problems involving rapidly growing operators in divergence form)

• Workshop on Differential Equations, April 4-6, 2018, Central European University, Budapest, Hungary (speaker: Nicusor Costea; title of the talk: Producing bounded Palais-Smale sequences for locally Lipschitz functionals and applications to PDE's)

• Workshop on Differential Equations, April 4-6, 2018, Central European University, Budapest, Hungary (participant: Maria Farcaseanu; title of the poster: Fractional eigenvalue problems)

• Romanian Itinerant Seminar on Mathematical Analysis and its Applications, April 20-21, 2018, Babes-Bolyai University, Cluj-Napoca, Romania (speaker: Maria Farcaseanu; title of the talk: On a family of torsional creep problems involving rapidly growing operators in divergence form)

• Romanian Itinerant Seminar on Mathematical Analysis and its Applications, April 20-21, 2018, Babes-Bolyai University, Cluj-Napoca, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: The convergence of nonnegative solutions for the family of problems $-\Delta_p u=\lambda e^u$ as $p\rightarrow\infty$)

• Romanian Itinerant Seminar on Mathematical Analysis and its Applications, April 20-21, 2018, Babes-Bolyai University, Cluj-Napoca, Romania (speaker: Nicusor Costea; title of the talk: Producing bounded Palais-Smale sequences for locally Lipschitz functionals and applications to PDE's)

• Transitions de phase et équations non locales, April 25-27, 2018, IMAR, Bucharest, Romania (speaker: Mihai Mihailescu; title of the talk: Deux problèmes variationnels liés aux opérateurs en forme divergence avec symbole à croissance rapide)

• Workshop for Young Researchers in Mathematics, 8th Edition, May 17-18, 2018, IMAR, Bucharest, Romania (speaker: Maria Farcaseanu; title of the talk: On a family of torsional creep problems in Finsler metrics)

• Workshop for Young Researchers in Mathematics, 8th Edition, May 17-18, 2018, IMAR, Bucharest, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: The asymptotic behavior of a class of φ-harmonic functions in Orlicz-Sobolev spaces)

• 2018 EWM-EMS Summer School: Nonlocal interactions in Partial Differential Equations and Geometry, May 21-25, 2018, Mittag-Leffler Institute Stockholm, Sweden (speaker: Denisa Stancu-Dumitru; title of the talk: Perturbed eigenvalue problems)

• 2018 EWM-EMS Summer School: Nonlocal interactions in Partial Differential Equations and Geometry, May 21-25, 2018, Mittag-Leffler Institute Stockholm, Sweden (speaker: Maria Farcaseanu; title of the poster: On an eigenvalue problem involving the (s,p)-Laplacian)

• Analyse, analyse numerique et controle des milieux continus, May 21-23, 2018, Faculty of Mathematics and Computer Science, University of Bucharest, Romania (speaker: Cristian Cazacu; Title of the talk: Null-controllability results for the linear Kuramoto-Sivashinsky equation on star-shaped trees)

• Analyse, analyse numerique et controle des milieux continus, May 21-23, 2018, Faculty of Mathematics and Computer Science, University of Bucharest, Romania (speaker: Liviu Ignat; Title of the talk: Asymptotic behaviour for fractional diffusion-convection equations)

• 14th Franco-Romanian Conference on Applied Mathematics, August 27-31, University of Bordeaux, France (speaker: Cristian Cazacu; title of the talk: Linear Kuramoto-Sivashinsky equation on star-shaped trees: spectral properties and null-controllability results for the)

• 14th Franco-Romanian Conference on Applied Mathematics, August 27-31, University of Bordeaux, France (speaker: Maria Farcaseanu; title of the talk: Torsional creep type problems)

• 14th Franco-Romanian Conference on Applied Mathematics, August 27-31, University of Bordeaux, France (speaker: Denisa Stancu-Dumitru; title of the talk: The limiting behaviour of solutions for a class of problems involving the p-Laplace operator and an exponential term)

• 14th Franco-Romanian Conference on Applied Mathematics, August 27-31, University of Bordeaux, France (speaker: Aurora Marica; title of the talk: Heat and Burgers equations on kinetic networks: asymptotics and decay)

• 14th Franco-Romanian Conference on Applied Mathematics, August 27-31, University of Bordeaux, France (speaker: Mihai Mihailescu; title of the talk: Minimization Problems for Inhomogeneous Rayleigh Quotients)

• Geometry and PDEs, October 12-13, West University of Timisoara, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: The limiting behavior for a system of eigenvalue problems)

• International Conference on Applied Mathematics and Numerical Methods (ICAMNM) - second edition, October 19-20, 2018, University of Craiova, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: A limiting problem for a family of eigenvalue problems involving p-Laplacians)

• International Conference on Applied Mathematics and Numerical Methods (ICAMNM) - second edition, October 19-20, 2018, University of Craiova, Romania (speaker: Maria Farcaseanu; title of the talk: The asymptotic behaviour of the sequence of solutions for a family of inhomogeneous equations)

• International Conference on Applied Mathematics and Numerical Methods (ICAMNM) - second edition, October 19-20, 2018, University of Craiova, Romania (speaker: Aurora Marica; title of the talk: Discrete Pohozaev identities)

• International Conference on Applied Mathematics and Numerical Methods (ICAMNM) - second edition, October 19-20, 2018, University of Craiova, Romania (speaker: Cristian Cazacu; title of the talk: About some functional inequalities and symmetry breaking of the minimizers)

• International Conference on Applied Mathematics and Numerical Methods (ICAMNM) - second edition, October 19-20, 2018, University of Craiova, Romania (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplacian)

• Mini-workshop ICUB-FMI 2018 "Workshop de analiza ecuatii diferentiale si mecanica", November 9, 2018, University of Bucharest, Romania (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplacian)

• Mini-workshop ICUB-FMI 2018 "Workshop de analiza ecuatii diferentiale si mecanica", November 9, 2018, University of Bucharest, Romania (speaker: Liviu Ignat; title of the talk: Asymptotic behaviour for nonlocal diffusion-convection equations)

CONFERENCES/WORKSHOPS ORGANIZED 2018:

• Sextas Jornadas de Analisis Matematico en Alicante, January 24-26, 2018, University of Alicante, Spain (co-organizer: Liviu Ignat)

• Workshop for Young Researchers in Mathematics, 8th Edition, May 17-18, 2018, IMAR, Bucharest, Romania (co-organizers: Cristian Cazacu; Nicusor Costea; Liviu Ignat)

• First Romanian Itinerant Seminar on Mathematical Analysis and its Applications (RISMAA), April 20-21, 2018, Babes-Bolyai University, Cluj-Napoca, Romania. (members of the scientific committee: Liviu Ignat; Mihai Mihailescu)

• Transitions de phase et équations non locales, April 25-27, 2018, IMAR, Bucharest, Romania (co-organizers: Cristian Cazacu; Liviu Ignat)

• Analyse, analyse numerique et controle des milieux continus, May 21-23, 2018, Faculty of Mathematics and Computer Science, University of Bucharest, Romania (co-organizers: Cristian Cazacu; Liviu Ignat)

• 14th Franco-Romanian Conference on Applied Mathematics, August 27-31, 2018, University of Bordeaux, France (co-organizer of the minisymposia Analyse qualitative et numerique d'equations d'evolution and member of the scientific committee : Liviu Ignat)

• International Conference on Applied Mathematics and Numerical Methods (ICAMNM) - second edition, October 19-20, 2018, University of Craiova, Romania (member of the scientific committee: Mihai Mihailescu)

Ph.D DEFENSE:

• On 10th of October 2018 Maria Farcaseanu obtained at the University of Craiova the PhD degree with the thesis entitled A Variational Analysis of Some Classes of Integral and Differential Equations: Eigenvalue Problems and Torsional Creep Problems.

INVITED RESEARCHERS/COLABORATORS:

• Marian Bocea (Loyola University Chicago, US) was invited for a research visit at IMAR and University of Craiova within the period 08/10/2018-13/10/2018. During this visit he continued the research collaboration with the members of the research team of the project on the topic of eigenvalue problems for the $p$-Laplace operator. Moreover, he disseminated results obtained in collaboration with Mihai Mihailescu at the Scientific Seminar of the University of Craiova where he presented the talk entitled " New results on the first eigenvalue of the $p$-Laplacian".

AWARDS:

• Cristian Cazacu won the "Dimitrie Pompeiu" Prize of the Romanian Academy.

SCIENTIFIC REPORT 2018 (PDF)

PUBLICATIONS 2019:

• M. Mihailescu, J. D. Rossi, & D. Stancu-Dumitru: A limiting problem for a family of eigenvalue problems involving $p$-Laplacians, Revista Matematica Complutense 32 (2019), 631-653.

• M. Bocea & M. Mihailescu: On the Monotonicity of the Principal Frequency of the $p$-Laplacian, Advances in Calculus of Variations, in press. (DOI: 10.1515/acv-2018-0022)

• M. Farcaseanu & M. Mihailescu: The asymptotic behaviour of the sequence of solutions for a family of equations involving $p(\cdot)$-Laplace operators, Moscow Mathematical Journal, in press.

• L. Beznea, L. I. Ignat, & J. D. Rossi: From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes, Revista Matematica Iberoamericana 35 (2019), 823-846.

• A. Grecu & M. Mihailescu: Principal frequency of $\Delta_{\infty}$ as limit of Rayleigh quotients in Orlicz spaces, Applicable Analysis, in press. (DOI: 10.1080/00036811.2019.1652737)

• D. Stancu-Dumitru: Anisotropic torsional creep problems involving rapidly growing differential operators, Nonlinear Analysis: Real World Applications 51 (2020), Article No. UNSP 103003. (DOI: https://doi.org/10.1016/j.nonrwa.2019.103003)

CONFERENCES/TALKS 2019:

• Italian-Romanian Colloquium on Differential Equations and Applications, April 10-12, 2019, University of Udine, Italy (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplace Operator and Related Problems).

• Scientific Seminar Instituto de Matematica Pura e Aplicada, January 8, 2019, Rio de Jainero, Brazil (speaker: Liviu Ignat; title of the talk: Asymptotic behaviour for nonlocal diffusion-convection equations).

• Scientific Seminar, Instutito de Matematica, Universidad Federal Rio de Janeiro, January 16, 2019, Rio de Jainero, Brazil (speaker: Liviu Ignat; title of the talk: Asymptotic behaviour for nonlocal diffusion-convection equations).

• Second Romanian Itinerant Seminar on Mathematical Analysis and its Applications (RISMAA), May 10-12, 2019, Ovidius University, Constanta, Romania (speaker: Mihai Mihailescu; title of the talk: The existence and uniqueness of exponentially harmonic maps revisited).

• Second Romanian Itinerant Seminar on Mathematical Analysis and its Applications (RISMAA), May 10-12, 2019, Ovidius University, Constanta, Romania (speaker: Liviu Ignat; title of the talk: Nonlocal evolution problems).

• Second Romanian Itinerant Seminar on Mathematical Analysis and its Applications (RISMAA), May 10-12, 2019, Ovidius University, Constanta, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: On the spectrum of a nontypical eigenvalue problem).

• International Conference on Elliptic and Parabolic Problems, May 20-24, 2019, Gaeta, Italy (speaker: Liviu Ignat; title of the talk: Null-controllability of the linear Kuramoto–Sivashinsky equation).

• 2nd Workshop on Analysis, PDEs and Mechanics, May 30, 2019, "Gheorghe Mihoc - Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics, Bucuresti, Romania (speaker: Mihai Mihailescu; title of the talk: Inhomogeneous torsional creep problems in anisotropic Orlicz-Sobolev spaces).

• 2nd Workshop on Analysis, PDEs and Mechanics, May 30, 2019, "Gheorghe Mihoc - Caius Iacob" Institute of Mathematical Statistics and Applied Mathematics, Bucuresti, Romania (speaker: Liviu Ignat; title of the talk: The Schrodinger equation on a tree: dispersion and Hardy's uncertainty principle).

• RomFin2019 and FSDONA2019, June 10-15, 2019, University of Turku, Finland (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplace Operator).

• The Ninth Congress of Romanian Mathematicians, June 28 - July 3, 2019, University of Galati, Romania (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplace Operator).

• The Ninth Congress of Romanian Mathematicians, June 28 - July 3, 2019, University of Galati, Romania (speaker: Liviu Ignat; title of the talk: The Schrodinger equation on a tree: dispersion and Hardy's uncertainty principle).

• The Ninth Congress of Romanian Mathematicians, June 28 - July 3, 2019, University of Galati, Romania (speaker: Denisa Stancu-Dumitru; title of the talk: Anisotropic torsional creep problems involving rapidly growing differential operators).

• The Ninth Congress of Romanian Mathematicians, June 28 - July 3, 2019, University of Galati, Romania (speaker: Aurora Marica; title of the talk: Eigenfunction estimates for discrete Laplace operators).

• The Ninth Congress of Romanian Mathematicians, June 28 - July 3, 2019, University of Galati, Romania (speaker: Maria Farcaseanu; title of the talk: The asymptotic behaviour of the sequence of solutions for a family of inhomogeneous equations).

• 7th International Conference on Mathematics and Informatics, September 2-4, 2019, Targu Mures/Marosvasarhely, Romania (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplace Operator).

• 7th International Conference on Mathematics and Informatics, September 2-4, 2019, Targu Mures/Marosvasarhely, Romania (speaker: Liviu Ignat; title of the talk: The Schrodinger equation on a tree: dispersion and Hardy's uncertainty principle).

• 7th International Conference on Mathematics and Informatics, September 2-4, 2019, Targu Mures/Marosvasarhely, Romania (speaker: Nicusor Costea; title of the talk: Mixed hemivariational-like inequalities involving set-valued maps and applications).

• 7th International Conference on Mathematics and Informatics, September 2-4, 2019, Targu Mures/Marosvasarhely, Romania (speaker: Aurora Marica; title of the talk: Multiplier techniques and eigenfunction estimates for discrete Laplace operators).

• Seminar of the Department of Mathematics and Statistics, September 24, 2019, The College of Arts and Sciences, American University of Sharjah, United Arab Emirates (speaker: Mihai Mihailescu; title of the talk: The Monotonicity of the Principal Eigenvalue of the p-Laplace Operator).

• Seminar of the Department of Mathematics and Statistics, September 24, 2019, The College of Arts and Sciences, American University of Sharjah, United Arab Emirates (speaker: Denisa Stancu-Dumitru; title of the talk: Anisotropic torsional creep problems).

CONFERENCES/WORKSHOPS ORGANIZED 2019:

• Workshop for Young Researchers in Mathematics, 9th Edition, June 3-4, 2019, University of Bucharest, Bucharest, Romania (co-organizer: Nicusor Costea).

• Second Romanian Itinerant Seminar on Mathematical Analysis and its Applications (RISMAA), May 10-12, 2019, Ovidius University, Constanta, Romania (members of the scientific committee: Liviu Ignat; Mihai Mihailescu).

INVITED RESEARCHERS/COLABORATORS:

• Florica Cirstea (The University of Sydney, Australia) was invited for a research visit at IMAR, University of Galati and University of Craiova within the period 28/06/2019-19/07/2019. During this visit she continued the research collaboration with the members of the research team of the project on the topic of PDE's involving isolated singularities. Moreover, Florica participated to the "Ninth Congress of Romanian Mathematicians" (at the University of Galati) where she presented the talk entitled "Existence of sharp asymptotic profiles of singular solutions to elliptic equations with a sign-changing nonlinearity". Furthermore, on 10th of July 2019 Florica presented the talk entitled "Existence results for anisotropic elliptic equations with gradient-dependent nonlinearities" within the Scientific Seminar of the Department of Mathematics from the University of Craiova.

AWARDS: The paper "Asymptotic behavior of solutions to fractional diffusion–convection equations" published by L. I. Ignat in collaboration with D. Stan in Journal of London Mathematical Society was ranked as a top 20 most read paper in JLMS.

SCIENTIFIC REPORT 2019 (PDF)