Published papers:
2021________________________________________________________________________
DE ARAUJO, Anderson LA; DOS REIS ABREU, Rafael. Infinitely many solutions of a quasilinear elliptic equation with nonlinearity oscillating close to zero. São Paulo Journal of Mathematical Sciences, v. 15, n. 1, p. 427-434, 2021.
DE ARAUJO, Anderson LA; MONTENEGRO, Marcelo. Multiplicity of solutions for an elliptic equation with exponential growth. Nonlinear Differential Equations and Applications NoDEA, v. 28, n. 3, p. 1-20, 2021.
DE ARAUJO, Anderson LA et al. Positive solutions for non-variational fractional elliptic systems with negative exponents. Zeitschrift für Analysis und ihre Anwendungen, v. 40, n. 1, p. 111-129, 2021.
DE ARAUJO, Anderson LA; MONTENEGRO, Marcelo. Existence of solution and asymptotic behavior for a class of parabolic equations. Communications on Pure & Applied Analysis, v. 20, n. 3, p. 1213, 2021.
2020________________________________________________________________________
ALVES, ALEXANDRE M. ; LEMOS, ABÍLIO ; DE ARAUJO, ANDERSON L. A. . A partial positive answer to a Lijun-Yun conjecture. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2008), v. 13, p. 49-59, 2020.
de Araujo, A. L. A.; ARARUNA, F. D. ; LOUREDO, A. T. . Decay of solution for degenerate Kirchhoff equation with general nonlinearity. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 43, p. 2695-2708, 2020.
HEIDARKHANI, Shapour; DE ARAUJO, Anderson Luis Albuquerque; SALARI, Amjad. Infinitely many solutions for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions. Boletim da Sociedade Paranaense de Matemática, v. 38, n. 4, p. 71-96, 2020.
Heidarkhani, S., De Araujo, A. L. A., Afrouzi, G. A., & Moradi, S. (2020). Existence of three weak solutions for Kirchhoff-type problems with variable exponent and nonhomogeneous Neumann conditions. FIXED POINT THEORY, 21(2), 525-548.
DE ARAUJO, Anderson LA; LEITE, Edir Junior Ferreira. Existence and uniqueness of positive solution for non-variational elliptic systems. Journal of Mathematical Analysis and Applications, v. 491, n. 1, p. 124284, 2020.
DE ARAUJO, Anderson LA; FASSONI, Artur C.; SALVINO, Luís F. Mathematical Analysis of a Non-Local Mixed ODE-PDE Model for Tumor Invasion and Chemotherapy. Acta Applicandae Mathematicae, v. 170, n. 1, p. 415-442, 2020.
DE ARAUJO, Anderson LA; FARIA, Luiz FO; GURJÃO, Jéssyca LF Melo. Positive solutions of nonlinear elliptic equations involving supercritical Sobolev exponents without Ambrosetti and Rabinowitz condition. Calculus of Variations and Partial Differential Equations, v. 59, n. 5, p. 1-18, 2020.
DE ARAUJO, Anderson Antonio; FASSONI, Artur C.; SALVINO, Luís. An analysis of a mathematical model describing the growth of a tumor treated with chemotherapy. Applied Mathematics and Nonlinear Sciences, v. 5, n. 2, p. 185-204, 2020.
2019________________________________________________________________________
DE ARAUJO, ANDERSON LUIS A.; BOLDRINI, J. L. ; CALSAVARA, B. M. . Corrigendum to 'An analysis of a mathematical model describing the geographic spread of dengue disease' [J. Math. Anal. Appl. 444 (1) (2016) 298-325]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 478, p. 1189-1190, 2019.
DE ARAUJO, ANDERSON LUIS A.; FASSONI, A. C. ; SALVINO, L. F. . An analysis of a mathematical model describing acid mediated tumor invasion. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v. 42, p. 6686-6705, 2019.
DE ARAUJO, ANDERSON LUIS A.; FARIA, L. F. O. . Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 267, p. 4589-4608, 2019.
DE ARAUJO, ANDERSON LUIS A.; MIRANDA, L. H. . On fractional regularity methods for a class of nonlocal problems. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v. 475, p. 1162-1195, 2019.
DE ARAUJO, ANDERSON LUIS A.; HEIDARKHANI, S. ; AFROUZI, G. A. ; MORADI, S. . A VARIATIONAL APPROACH FOR A PERTURBED SECOND-ORDER IMPULSIVE HAMILTONIAN SYSTEM. Scientific Annals of the Alexandru Ioan Cuza University of Iaşi (New Series). Mathematics, v. LXV, p. 47-63, 2019.
2018________________________________________________________________________
DE ARAUJO, ANDERSON L.A.; MAGALHAES, P. M. D. . Existence of Solutions and Local Null Controllability for a Model of Tissue Invasion by Solid Tumors. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 50, p. 3598-3631, 2018.
with MONTENEGRO, M. S. . Existence of solution for a nonvariational elliptic system with exponential growth in dimension two. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 264, p. 2270-2286, 2018.
with HEIDARKHANI, S. ; AFROUZI, G. A. ; MORADI, S. . Multiple solutions for Kirchhoff-type problems with variable exponent and nonhomogeneous Neumann conditions. MATHEMATISCHE NACHRICHTEN, v. 291, p. 326-342, 2018.
de Araujo, Anderson Luis; LEMOS, A. ; ALVES, A. M. ; PEDROSO, K. M. . Some results on Riccati equations, Floquet theory and applications. Journal of Fixed Point Theory and Applications, v. 20, p. 1-15, 2018.
DE ARAUJO, ANDERSON LUIS A.; MONTENEGRO, M. S. . A Class of Parabolic Equations Driven by the Mean Curvature Flow. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 62, p. 135-163, 2018.
2017________________________________________________________________________
with LEMOS, A. An asymptotic formula for Goldbach's conjecture with monic polynomials in Z[theta][x]. COLLOQUIUM MATHEMATICUM, v. 148, p. 215-223, 2017.
_____ Infinitely many solutions for the Dirichlet problem involving the p-Laplacian in annulus, Far East Journal of Applied Mathematics, , v. 96, p. 77-91, 2017.
with DE MAGALHÃES, PAULO M.D. On explicit L∞(QT)-estimates for a model of tissue invasion by solid tumours. Mathematical Methods in the Applied Sciences, v. 40, p. 4802-4811, 2017.
with ABREU, R. . Existence of Solution for an Elliptic Problem with a Sublinear Term, Bulletin of the Belgian Mathematical Society Simon Stevin, v. 24, p. 175-187, 2017.
2016 ________________________________________________________________________
with José Luiz Boldrini ; CALSAVARA, B. M. . An Analysis of a Mathematical Model Describing the Geographic Spread of Dengue Disease. Journal of Mathematical Analysis and Applications (Print) v. 444, p. 298-325, 2016.
with MONTENEGRO, M. S. . Existence of solution for a general class of elliptic equations with exponential growth. Annali di Matematica Pura ed Applicata, v. 195, p. 1737-1748, 2016.
with Luiz F. O. Faria; Existence of solutions to biharmonic systems with singular nonlinearity, Electron. J. Diff. Equ., Vol. 2016 (2016), No. 177, pp. 1-12.
2015________________________________________________________________________
DE ARAUJO, ANDERSON L.A.; DE MAGALHÃES, PAULO M.D. . Existence of solutions and optimal control for a model of tissue invasion by solid tumours. Journal of Mathematical Analysis and Applications (Print), v. 421, p. 842-877, 2015.
de Araujo, A. L. A.; SILVA, S. L. M. . NAVIER-STOKES EQUATIONS WITH VARIABLE VISCOSITY IN NONSTATIONARY FORM. Far East Journal of Applied Mathematics, v. 90, p. 173-188, 2015.
de Araujo, A. L. A.; MONTENEGRO, M. S. . The mean curvature equation with oscillating nonlinearity. Advanced Nonlinear Studies, v. 15, p. 183-189, 2015.
de Araujo, A. L. A.; ALVES, M. S. ; RAPOSO, C. A. . A TIMOSHENKO-CATTANEO SYSTEM WITH VISCOELASTIC KELVIN-VOIGT DAMPING AND TIME DELAY. Far East Journal of Applied Mathematics, v. 93, p. 153-178, 2015.
2014_______________________________________________________________________
DE ARAUJO, ANDERSON LUIS A.. Periodic solutions for extended Fisher-Kolmogorov and Swift-Hohenberg equations obtained using a continuation theorem. Nonlinear Analysis, v. 94, p. 100-106, 2014.
2013________________________________________________________________________
de Araujo, A. L. A.; PEDROSO, K. M. . Periodic solutions and positive homoclinic solution for a differential equation. Bulletin of the Belgian Mathematical Society Simon Stevin, v. 20, p. 535-546, 2013.
de Araujo, A. L. A.. Another approach on an elliptic equation of Kirchhoff type. Portugaliae Mathematica, v. 70, p. 11-22, 2013.
2012_______________________________________________________________________
de Araujo, A. L. A.; MARTINS, R. M. . Existence of periodic solutions for a nonautonomous differential equation. Bulletin of the Belgian Mathematical Society Simon Stevin, v. 19, p. 305-310, 2012.
de Araujo, A. L. A.. Periodic solutions for a nonautonomous ordinary differential equation. Nonlinear Analysis, v. 75, p. 2897-2903, 2012.
de Araujo, A. L. A.; BOLDRINI, J. L. . A note on immersions of domains of fractional powers of certain sectorial operators in Sobolev spaces. Applied Mathematics Letters, v. 25, p. 2105-2109, 2012.
de Araujo, A. L. A.. Periodic solutions for a third order differential equation without asymptotic behavior on the potential. Portugaliae Mathematica, v. 69, p. 85-94, 2012.
Accepted papers for publication:
hapour Heidarkhani, Anderson L. A. De Araujo, Giuseppe Caristi, and Amjad Salari. Multiplicity results for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions. Dynamic Systems and Applications 30 (2021) No. 7, 1149-1179.
Albuquerque de Araujo, A. L., Boldrini, J. L., Cabrales, R. C., Fernández-Cara, E., & Oliveira, M. L. (2021). Optimal Control of Insect Populations. Mathematics, 9(15), 1762.
DE ARAUJO, ANDERSON LUIS A.; HEIDARKHANI, S. ; BOROUN, M. . Existence of homoclinic solutions for difference equations on integers via variational method. BOLETIM DA SOCIEDADE PARANAENSE DE MATEMÁTICA, 2020.
with HEIDARKHANI, S. ; AFROUZI, G. A. ; MORADI, S. . Multiple solutions for a p(x)-Laplacian-like problem with Neumann condition originated from a capillary phenomena. Acta Universitatis Apulensis, 2018.
de Araujo, A. L. A.; HEIDARKHANI, S. ; AFROUZI, G. A. ; ROUDBARI, S. P. . Existence results to elliptic problems with Dirichlet boundary condition involving a p-harmonic operator. Acta Universitatis Apulensis, 2018.
Submitted papers:
with S. Heidarkhani; G. Caristi; A. Salari. Multiplicity results for nonlocal problems with variable exponent and nonhomogeneous Neumann conditions, 2016.
with MONTENEGRO, M. S. . The mean curvature flow with Dirichlet boundary condition through axially symmetric surfaces, 2016.
with ARARUNA, F. D. ; LOUREDO, A. T. . Existence and stabilization for degenerate Kirchhoff equation, 2016.
with LEMOS, A ; ALVES, A. M. . Conditions to the existence of center-focus in planar systems and center for Abel equations, 2016
Prepints:
with Vaz, C. L. D. . A generalization of the Caginalp system, 2014.
with MAGALHAES, P. M. D. . Optimal Control of the FitzHugh-Nagumo system, 2013.
with BOLDRINI, J. L. . Existence and uniqueness of solutions of phase field models with a more general class of nonlinearities, 2012.
with BOLDRINI, J. L. . Optimal Control of Mosquitoes Populations with Obstacle in the Control, 2012.
with BOLDRINI, J. L.; CABRALES, R. C. ; OLIVEIRA, M. L. . Optimal Control of Mosquitoes Populations, 2015.
with BOLDRINI, J. L. . Optimal Control of Mosquitoes Populations with Constrained Control, 2011.