Publications

Ph. D. Thesis

• Qualitative Methods in the  Study of Nonlinear Elliptic Problems, University of Craiova, September 19, 2012, Supervisor Prof. Vicentiu Radulescu. 

Papers

• Mihai Mihailescu and Denisa Stancu-Dumitru, On an eigenvalue problem involving the p(x)-Laplace operator plus a non-local term, Differential Equations & Applications (DEA) 1 (2009) 367-378.

• Denisa Stancu-Dumitru, Multiplicity of solutions for anisotropic quasilinear elliptic equations with variable exponent, Bulletin of the Belgium Mathematical Society- Simon Stevin 17 (2010) 875-889.

• Mihai Mihailescu and Denisa Stancu-Dumitru, On a degenerate and singular elliptic equation with critical exponent and non-standard growth conditions, Studia Universitatis "Babes-Bolyai", Mathematica, Volume LV, Number 4, December 2010, 91-98.

• Mihai Mihailescu, Gheorghe Morosanu and Denisa Stancu-Dumitru, Equations involving a variable exponent Grushin-type operator, Nonlinearity 4  (10) (2011) 2663-2680. (JCR 2018 AIS Physics Mathematical, rank 4 & & AIS Mathematics Applied, rank 30, red area)

• Mihai Mihailescu, Vicentiu Radulescu and Denisa Stancu-Dumitru, A Caffarelli-Kohn-Niremberg type inequality with variable exponent and applications to PDE's, Complex Variables and Elliptic Equations, Special Issue: Sobolev Spaces with Variable Exponent and Related Elliptic Problems: Theory and Applications, 56 (7-9) (2011) 659-669. (JCR 2018 IF Mathematics, rank 143, yellow area)

• Denisa Stancu-Dumitru, Two nontrivial weak solutions for the Dirichlet problem on the Sierpinski Gasket, Bulletin of the Australian Mathematical Society 85 (3) (2012) 395-414.

• Denisa Stancu-Dumitru, Two nontrivial solutions for a class of anisotropic variable exponent problems, Taiwanese Journal of Mathematics 16 (4) (2012) 1205-1219.

• Mihai Mihailescu and Denisa Stancu-Dumitru, Anisotropic quasilinear elliptic equations with variable exponent, Journal of the Korean Mathematical Society 49 (2012), No. 6, 1123-1138.

• Denisa Stancu-Dumitru, Multiplicity of solutions for a nonlinear degenerate problem in anisotropic variable exponent spaces, Bulletin of the Malaysian Mathematical Sciences Society (2) 36 (1) (2013) 117-130. (JCR 2018 IF Mathematics, rank 120, yellow area)

• Denisa Stancu-Dumitru, Variational treatment of nonlinear equations on the Sierpinski gasket, Complex Variables and Elliptic Equations 59 (2) (2014) 172-189. (JCR 2018 IF Mathematics, rank 143, yellow area)

• Marian Bocea, Mihai Mihailescu and Denisa Stancu-Dumitru, The limiting behavoir of solutions to inhomogeneous eigenvalue problems in Orlicz-Sobolev spaces, Advanced Nonlinear Studies 14 (2014) 977-990. (JCR 2018 IF Mathematics Applied, rank 58, red area & AIS Mathematics Applied, rank 75, yellow area)

• Maria Fărcășeanu, Mihai Mihăilescu and Denisa Stancu-Dumitru, On the set of eigenvalues of some PDEs with homogeneous Neumann boundary condition, Nonlinear Analysis 116  (2015), 19-25. (JCR 2018 AIS Mathematics Applied, rank 53, red area)

• Liviu I. Ignat, Tatiana I. Ignat and Denisa Stancu-Dumitru, A compactness tool for the analysis of nonlocal evolution equations, SIAM Journal on Mathematical Analysis  47 (2015), 1330–1354. (JCR 2018 AIS Mathematics Applied, rank 27, red area)

  • Denisa Stancu-Dumitru, Multiplicity of solutions for an anisotropic problem in Orlicz-Sobolev spaces, Journal of Nonlinear and Convex Analysis 16 (5)  (2015), 815-834.

• Mihai Mihăilescu, Denisa Stancu-Dumitru and Csaba Varga, On the spectrum of a Baouendi-Grushin type operator: an Orlicz-Sobolev space setting approach, Nonlinear Differential Equations and Applications  22 (5)  (2015), 1067-1087.  (JCR 2018 AIS Mathematics Applied, rank 79, yellow area) 

• Maria Fărcășeanu and Denisa Stancu-Dumitru, Existence of solutions for a quasilinear elliptic equation involving a nonlocal term, Electronic Journal of Differential Equations, Vol. 2015 (2015), No. 293, pp. 1-8.

• Mihai Mihăilescu and Denisa Stancu-Dumitru, A perturbed eigenvalue problem on general domains, Annals of Functional Analysis 7 (4) (2016), 529-542.

• Maria Fărcășeanu, Mihai Mihăilescu and Denisa Stancu-Dumitru, Perturbed fractional eigenvalue problems, Discrete and Continuous Dynamical Systems– A 37(12) (2017), 6243-6255. (JCR 2018 AIS Mathematics Applied, rank 61, red area)

• Maria Fărcășeanu, Mihai Mihăilescu and Denisa Stancu-Dumitru, On the convergence of the sequence of solutions for a family of eigenvalue problems, Mathematical Methods in the Applied Sciences  40 (2017), 6919-6926 (JCR 2018 IF Mathematics Applied, rank 70, yellow area)

• Denisa Stancu-Dumitru, The asymptotic behavior of a class of $phi$-harmonic functions in Orlicz-Sobolev spaces, Journal of Mathematical Analysis and Applications 463 (1) (2018), 365-376. (JCR 2018 IF Mathematics, rank 65, red area & AIS Mathematics Applied, rank 113, yellow area)

•  Mihai Mihăilescu, Denisa Stancu-Dumitru and Csaba Varga, The convergence of nonnegative solutions for the family of problems −∆_p u=λ e^u as p→∞, ESAIM: Control, Optimisation and Calculus of Variations  24 (2) (2018), 569-578. (JCR 2018 AIS Mathematics Applied, rank 45, red area)

• Mihai Mihăilescu and Denisa Stancu-Dumitru, On the spectrum of a nontypical eigenvalue problem, Electronic Journal of Qualitative Theory of Differential Equations 87 (2018),  1–10. (JCR 2018 IF Mathematics, rank 78, red area)

• Mihai Mihăilescu, Julio D. Rossi and Denisa Stancu-Dumitru, A limiting problem for a family of eigenvalue problems involving p-Laplacians, Revista Matematica Complutense  32 (3) (2019), 631-653. (JCR 2018 AIS Mathematics Applied, rank 103, yellow area)

• Denisa Stancu-Dumitru, Anisotropic torsional creep problems involving rapidly growing differential operators, Nonlinear Analysis: Real World Applications 51 (2020), Article Number: UNSP 103003, WOS: 000488994500025,   DOI: https://doi.org/10.1016/j.nonrwa.2019.103003 (JCR 2018 AIS Mathematics Applied, rank 63, red area)

• Maria Farcaseanu, Andrei Grecu, Mihai  Mihailescu and Denisa Stancu-Dumitru, Perturbed eigenvalue problems: an overview, Studia Univ.  Babes-Bolyai Math.  66  (2021),  55-73.   DOI: 10.24193/subbmath.2021.1.05; WOS: 000631641400006

• Andrei Grecu and Denisa Stancu-Dumitru, The asymptotic behavior of solutions to a class of inhomogeneous problems: an Orlicz-Sobolev space approach, Electronic Journal of Qualitative Theory of Differential Equations, 38 (2021), 1-20, WOS: 000641292600001, doi: https://doi.org/10.14232/ejqtde.2021.1.38 (JCR 2020 IF Mathematics, rank  44, red area)

• Mihai Mihailescu and Denisa Stancu-Dumitru, Torsional creep problems involving Grushin-type operators, Applied Mathematics Letters 121 (2021) no. 107423, https://www.sciencedirect.com/science/article/abs/pii/S0893965921002275, doi: 10.1016/j.aml.2021.107423, WOS: 000682955100045. (JCR 2020 IF  Mathematics Applied, rank  8, red area & AIS Mathematics Applied, rank  79, yellow area)

• Maria Farcaseanu, Andrei Grecu, Mihai  Mihailescu and Denisa Stancu-Dumitru,  An overview on torsional creep Problems, Revue Roumaine de Mathematique Pures et Appiquees 66 (2021), 3-4, 695-708.

• Serban Barbuleanu, Mihai Mihailescu and Denisa  Stancu-Dumitru: Estimates for the ratio of the first two eigenvalues of the Dirichlet Laplace operator with a drift, Contributions to Mathematics 4 (2021), 23-27.

• Maria Fărcăşeanu, Mihai Mihăilescu and Denisa Stancu-Dumitru, On a family of torsional creep problems in Finsler metrics, Canadian Journal of Mathematics 74 , Issue  1, February 2022, 24 -41,  DOI: 10.4153/S0008414X20000681, WOS:000753975900002 

• Cristian Enache, Mihai Mihailescu and Denisa Stancu-Dumitru, The Monotonicity of the p-Torsional Rigidity  in Convex Domains, Mathematische Zeitschrift 302, Issue 1, (2022), 419-431. https://doi.org/10.1007/s00209-022-03069-6, https://link.springer.com/article/10.1007/s00209-022-03069-6  WOS:000815441500001 

• Marian Bocea, Mihai Mihailescu and Denisa Stancu-Dumitru,  The Monotonicity of the Principal Frequency of the Anisotropic p-Laplacian,  Comptes Rendus Mathématique 360 (2022), 993-100, DOI: 10.5802/crmath.348, WOS: 000886612500077

• Mihai Mihailescu and Denisa Stancu-Dumitru, Monotonicity with respect to p of the best constants associated with Sobolev immersions of type W^{1,p}_0(\Omega) in L^{q}(\Omega) when q\in {1,p,\infty}, Studia Univ. Babes-Bolyai Math. 68 (2023), 109-123.

• Maria Farcaseanu, Mihai Mihailescu and Denisa Stancu-Dumitru,  A minimization problem related to the principal frequency of the p-Bilaplacian with coupled Dirichlet-Neumann conditions,  Electronic Journal of Qualitative Theory of Differential Equations  2023, No. 51, 1-9, DOI: 10.14232/ejqtde.2023.1.51

   Proceedings

• Denisa Stancu-Dumitru, An eigenvalue problem for anisotropic quasilinear elliptic equations with variable exponents, Proceeding of International Student Conference on Pure and Applied Mathematics (ISCOPAM), Editura Universitatii "Alexandru Ioan Cuza" Iasi, 2011, pp. 221-235.

• Mihai Mihailescu, Gheorghe Morosanu and Denisa Stancu-Dumitru, An Existence Result for a PDE Involving a Grushin-type Operator and Variable Exponents, NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics, AIP Conference Proceedings 1389, Vol. A, pp. 889-892 (ISI Proceeding).

  • Maria Farcaseanu, Mihai Mihailescu and Denisa Stancu-Dumitru, A maximum principle for a class of first order differential operators, New Trends in Differential Equations, Control Theory and Optimisation, pag. 93-103,  World Sci. Publ., Hackensack, NJ, 2016.