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  1. SILVA, EDCARLOS D.; RIBEIRO, B. . Resonant-Superlinear elliptic problems at high order eigenvalues. Mediterranean Journal of Mathematics, 2021.
  2. Radulescu, V., Santos, C. A., Santos, L. and Carvalho, M. L. Discontinuous perturbations of nonhomogeneous strongly-singular Kirchhoff problems. Nonlinear Differential Equations and Applications (NDEA) 2021.
  3. Claudianor O. Alves and Marcos L. M. Carvalho, A Lions type result for a large class of Orlicz-Sobolev space and application, Moscow Mathematical Journal, 2021.
  5. Joao Marcos Bezerra do O; Bruno Ribeiro; Abiel Macedo. Hamiltonian elliptic  systems with critical polynomial-exponential growth. Nonlinear Analysis, 2021.
  6. M. L. Carvalho, J. V. Goncalves, E. D. Silva, . C. A. Santos. A type of Brézis-Oswald problem to $\Phi$-Laplacian operator with strongly-singular and gradient terms. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2021.
  7. Lima, R. A., Santos, C. A., Silva, K. Multiplicity of negative-energy solutions for singular-superlinear Schrödinger equations with indefinite-sign potential. Communications in Contemporary Mathematics. 2021
  8. ILYASOV, YAVDAT . Finding Saddle-Node Bifurcations via a Nonlinear Generalized Collatz–Wielandt Formula. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021.
  9. CARVALHO, M. L. M.; ILYASOV, Y. S. ; SANTOS, C. A. P. . Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients. Topological Methods in Nonlinear Analysis, 2021.

  10. Silva, E. D.; ALBUQUERQUE, J. C. ; CAVALCANTE, Thiago Rodrigues . Fourth-order nonlocal type elliptic problems with indefinite nonlinearities. SN Partial Differential Equations and Applications, 2021.
  11. Silva, E. D. ; Silva, Jefferson S. Existence of solution for quasilinear Schrödinger equations using a linking structure. Complex Variables and Elliptic Equations, 2021.
  12. CUNHA, ALYSSON. The Cauchy Problem for Dissipative Benjamin-Ono equation in Weighted Sobolev spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2020.
  13. CUNHA, ALYSSON; ALARCON, E. A. . The IVP for the evolution equation of wave fronts in chemical reactions in low regularity Sobolev spaces. JOURNAL OF EVOLUTION EQUATIONS, 2020.
  14. da Silva, E.; Quasilinear elliptic problems involving the logarithmic function. Journal of Mathematical Analysis and Applications (Print), 2020.
  15. CARVALHO, M. L. M.; Silva, E. D. ; Goulart, C. . Choquard equations via nonlinear rayleigh quotient for concave-convex nonlinearities. Communications on Pure & Applied Analysis, 2021.



  1. CUNHA, ALYSSON; PASTOR, ADEMIR . Persistence properties for the dispersion generalized BO-ZK equation in weighted anisotropic Sobolev spaces. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 274, p. 1067-1114, 2021
  3. FARACI, F. ; SILVA, K. . On the Brezis-Nirenberg problem for a Kirchhoff type equation in high dimension. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, v. 60, p. 22, 2021.


  1. Silva, K., Sousa, S. M.; Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic systemElectronic Journal of Differential Equations, 1-14, 2020.
  2. BOBKOV, VLADIMIR ; DRÁBEK, PAVEL ; ILYASOV, YAVDAT . Estimates on the spectral interval of validity of the anti-maximum principle. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 269, p. 2956-2976, 2020.
  3. P. D. P. Salazar, Y. Ilyasov, L. F. C. Alberto, E. C. M. Costa and M. B. C. Salles, "Saddle-Node Bifurcations of Power Systems in the Context of Variational Theory and Nonsmooth Optimization," in IEEE Access, vol. 8, pp. 110986-110993, 2020
  4. Silva, Edcarlos D. ; Silva, Maxwell L. ; DE ALBUQUERQUE, J.C. . Ground states for a class of critical quasilinear coupled superlinear elliptic systems. COMPUTERS & MATHEMATICS WITH APPLICATIONS, v. 79, p. 889-907, 2020.
  5. Silva, E. D., Carvalho, M. L., Albuquerque, J. C.. Revised regularity results for quasilinear elliptic problems driven by the $\phi$-laplacian operator, Manuscritpta Mathematica, 563-582, 2019.
  6. Siciliano, G.; Silva, K.; The Fibering method approach for a non-linear Schrödinger equation coupled with the electromagnetic field, Publicacions Matematiques (64), 373-390,2020.
  7. DE ALBUQUERQUE, JOSÉ CARLOS ; SILVA, KAYE . On the extreme value of the Nehari manifold method for a class of Schrödinger equations with indefinite weight functions. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 269, p. 5680-5700, 2020.
  8. SILVA, KAYE. On an abstract bifurcation result concerning homogeneous potential operators with applications to PDEs. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 269, p. 7643-7675, 2020.
  9. SILVA, K.; SOUSA, S. M. . Finer analysis of the Nehari set associated to a class of Kirchhoff-type equations. SN Partial Differential Equations and Applications, v. 1, p. 43, 2020.
  10. Oliveira, J. F. A., Do Ó, J. M.; Macedo, A. C. A Sharp Adams-Type Inequality for Weighted Sobolev Spaces. Quarterly Journal of Mathematics, v. 71, p. 517-538, 2020.
  11. Carvalho, M. L., Silva, E. D., Goulart, C. ; Santos, C. A. P., Ground and bound state solutions for quasilinear elliptic systems including singular nonlinearities and indefinite potentials. Communications on Pure and Applied Analysis, 2020.
  12. D. SILVA, EDCARLOS; S. SILVA, JEFFERSON . Multiplicity of solutions for critical quasilinear Schrödinger equations using a linking structure. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES A, v. 40, p. 5441-5470, 2020.
  13. SILVA, EDCARLOS D.; DE ALBUQUERQUE, J. C. ; SILVA, MAXWELL L. . Periodic and asymptotically periodic quasilinear elliptic systems. JOURNAL OF MATHEMATICAL PHYSICS, v. 61, p. 091501-21, 2020.
  14. E. D. Silva; FURTADO, M. F. ; SEVERO, U. . Kirchhoff elliptic problems with asymptotically linear or superlinear nonlinearities. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, v. 71, p. 1-18, 2020.


  1. Diaz, I.J.,Hernandez, J.,Ilyasov, Y.;On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets, Advances in Nonlinear Analysis, 1046-1065, 2019. 
  2. Bobkov, V.; Drabek, P; Ilyasov, Y.. On full Zakharov equation and its approximations. Physica D: Nonlinear Phenomena, 2019, 132-168, 2019. 
  3. Carvalho, M. L. M.; Goncalves, J. V. A.; SANTOS, C. A. P.. About positive $W_{loc}^{1,\Phi}(\Omega)$-solutions to quasilinear elliptic problems with singular semilinear term. Topological Methods in Nonlinear Analysis 53 (2), 2019, 491-517.
  4. Bobkov, V.; Drabek, P; Ilyasov, Y.. On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities, Applied Mathematics Letters 95, 23-28, 2019.
  5. Carvalho, M. L. M.; Goncalves, J. V. A.; Goulart, C.; Miyagaki, O. H. O.. Multiplicity of solutions for a nonhomogeneous quasilinear elliptic problem with critical growth. Communications on Pure & Applied Analysis, v. 18, p. 83-106, 2019.
  6. Yang, M.; Silva, E. D.; Silva, M. L.; Albuquerque, J. C.. On the critical cases of linearly coupled Choquard systems. Applied Mathematics Letters, v. 1, p. 1-7, 2018.
  7. Ilyasov, Y.; Valeev, N. F.. On nonlinear boundary value problem corresponding to N-dimensional inverse spectral problem, Journal of Differential Equations, Vol. 266, Issue 8, 4533-4543, 2019.
  8. Silva, K. The bifurcation diagram of an elliptic Kirchhoff-type equations with respect to the stiffness of the material. Z. Angew. Math. Phys. (2019) 70:93. https://doi.org/10.1007/s00033-019-1137-8. (pdf)
  9. Carvalho, M. L., Silva, E. D., Silva, K. O., Gonçalves, J. V.; Quasilinear elliptic problems on non-reflexive Orlicz-Sobolev spaces, Topological Methods in Nonlinear Analysis, v.54, 587-612, 2019.


  1. Carvalho, M. L.; Gonçalves, J. V.; Santos, C. A. P.; Quasilinear elliptic systems with convex-concave singular terms and Phi-Laplacian Operator. Differential and Integral Equations, v. 31, 231-256, 2018.
  2. da Mota, J. C.; Souza, A. J.. Multiple traveling waves for dry forward combustion through porous medium, SIAM J. Appl. Math. v. 78(2), 1056-1077, 2018.
  3. Carvalho, M. L. M.; Gonçalves, J. V. A.; Silva, E. D.; SANTOS, C. A. P.; A type of Brézis-Oswald problem to the Phi-Laplacian operator with very singular term, Milan Journal of Mathematics 86, 53-80, 2018.
  4. Silva, K.; Macedo, A.. Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity. Journal of Differential Equations 265, no. 5, 1894-1921, 2018.
  5. Ilyasov, Y.; Silva, K.. On branches of positive solutions for p-Laplacian problems at the extreme value of Nehari manifold method. Proceedings of the American Mathematical Society 146, no.7, 2925-2935, 2018.
  6. Silva, K.; Macedo, A.. On the extremal parameters curve of a quasilinear elliptic system of differential equations. NoDEA Nonlinear Differential Equations Appl. 25 (2018), no. 4.
  7. Valeev. N. F.; Il'yasov, Y. S.. On an Inverse Optimization Spectral Problem and a Corresponding Nonlinear Boundary-Value ProblemMat. Zametki104:4 (2018), 621–625; Math. Notes, 104:4 (2018), 601–605.
  8. Ilyasov, Y. S.; Valeev, N. F.. On an inverse spectral problem and a generalized Sturm's nodal theorem for nonlinear boundary value problems, Ufa Mathematical Journal , Vol 10, 4, (2018), 122-128.
  9. Silva, E. D., Carvalho, M. L. M., Gonçalves, J. V., Goulart, C.; Critical quasilinear elliptic problems using concave-convex nonlinearities, Annali di Matematica Pura ed Applicata 198 (2018), 693-726.


  1. Silva, E. D.; Furtado, M. F.; Silva, M. L.. Existence of solution for a generalized quasilinear elliptic problem. Journal of Mathematical Physics, v. 58, p. 031503, 2017.
  2. Silva, E. D.; Furtado, M. F.; Ruviaro, R.. Semilinear elliptic problems with combined nonlinearities on the boundary. Annali di Matematica Pura ed Applicata, v. 1, p. 1-15, 2017.
  3. Severo, U. B.; Gloss, E.; da Silva, E. D.. On a class of quasilinear Schrödinger equations with superlinear or asymptotically linear terms. JOURNAL OF DIFFERENTIAL EQUATIONS, v. 01, p. 1-23, 2017.
  4. Carvalho, M. L. M.; Silva, E. D.;  Goncalves, J. V. A.; Correa, F. J. S. A.. Sign Changing Solutions for Quasilinear Superlinear Elliptic Problems. Quarterly Journal of Mathematics,  v. 68, p. 391-420, 2017.
  5. da Silva, E.; Calvacante, T. R.. Multiplicity of solutions for fourth order superlinear elliptic problems under Navier conditions,  EJDE, 2017.
  6. da Mota, J. C.; Santos, M. M.; Santos, R. A.. Cauchy problem for a combustion model in a porous medium with two layers; Monatshefte für Mathematik, 2017. DOI 10.1007/s00605-017-1114-2.
  7. Almeida, M. F.; Ferreira, L. C. F.; Lima, L. S. M.. Uniform global well-posedness of the Navier-Stokes-Coriolis system in a new critical space. Mathematische Zeitschrift, v. 287, p. 735-750, 2017.
  8. Goncalves, J. V.; Marcial, M. R.; Miyagaki, O. H.; Singular nonhomogeneous quasilinear elliptic equations with a convection term. Mathematische Nachrichten, Volume 290(14-15), 2280–2295, 2017.


  1. CUNHA, ALYSSON; PASTOR, ADEMIR. The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in low regularity Sobolev spaces. Journal of Differential Equations (Print), v. 261, p. 2041-2067, 2016.
  2. Carvalho, M. L. M. ; Silva, Edcarlos D. DA ; GOULART, C., QUASILINEAR ELLIPTIC PROBLEMS WITH CONCAVE-CONVEX NONLINEARITIES. Communications in Contemporary Mathematics, v. 1, p. S0219199716500504-25, 2016.
  3. Goncalves, Jose Valdo; MARCIAL, M. R.; MIYAGAKI, O. H., Topological structure of the solution set of singular equations with sign changing terms under Dirichlet boundary condition. Topological Methods in Nonlinear Analysis, v. 47, p. 73-89, 2016.
  4. ALVES, CLAUDIANOR O.; BARREIROY, JOSÉ L. P.; GONÇALVES, JOSÉ VALDO. Multiplicity of solutions of some quasilinear equations in ${mathbb{R}^{N}}$ with variable exponents and concave-convex nonlinearities. Topological Methods in Nonlinear Analysis, v. 47, p. 529-559, 2016.
  5. CORRÊA, FRANCISCO JÚLIO S. A.; Carvalho, MARCOS L. M.; GONÇALVES, JOSÉ VALDO A.; Silva, KAYE O. On the Existence of Infinite Sequences of Ordered Positive Solutions of Nonlinear Elliptic Eigenvalue Problems. Advanced Nonlinear Studies, v. 16, p. 439-458, 2016
  6. FERREIRA, L. C. F.; LIMA, L. S. M. Global well-posedness and symmetries for dissipative active scalar equations with positive-order couplings. Publicacions Matemàtiques, v. 60, p. 525-550, 2016.


  1. DO Ó, JOÃO MARCOS ; MACEDO, ABIEL COSTA. Adams type inequality and application for a class of polyharmonic equations with critical growth. Advanced Nonlinear Studies, v. 15, p. 867-888, 2015.
  2. da Silva, Edcarlos D.; RIBEIRO, B. C., Resonant-Superlinear elliptic problems using variational methods. Advanced Nonlinear Studies, v. 15, p. 157-170, 2015.
  3. Carvalho, M.L.M. ; Goncalves, JOSE V.A. ; DA Silva, E.D. . On quasilinear elliptic problems without the Ambrosetti-Rabinowitz condition. Journal of Mathematical Analysis and Applications (Print), v. 1, p. 1-23, 2015.
  4. Furtado, M.F ; da Silva, Edcarlos D. . Nonquadraticity conditions on superlinear problems. Springer, v. 1, p. 77/90-90, 2015.
  5. Furtado, MARCELO F. ; Silva, Edcarlos D. ; Silva, MAXWELL L. Quasilinear elliptic problems under asymptotically linear conditions at infinity and at the origin. Zeitschrift fur Angewandte Mathematik und Physik (Printed ed.), v. 66, p. 277-291, 2015.
  6. Furtado, MARCELO F. ; Silva, Edcarlos D. . Superlinear elliptic problems under the non-quadraticity condition at infinity. Proceedings. Section A. Mathematics, v. 145, p. 779-790, 2015.
  7. CORRÊA, FRANCISCO JULIO S.A. ; Carvalho, MARCOS L. ; Goncalves, J.V.A. ; Silva, KAYE O. Positive solutions of strongly nonlinear elliptic problems. Asymptotic Analysis, v. 93, p. 1-20, 2015.
  8. ALVES, CLAUDIANOR O. ; Goncalves, Jose V. A. ; Silva, KAYE O. . Multiple sign-changing radially symmetric solutions in a general class of quasilinear elliptic equations. Zeitschrift fur Angewandte Mathematik und Physik (Printed ed.), v. 66, p. 2601-2623, 2015.
  9. ALVES, CLAUDIANOR O. ; Carvalho, MARCOS L. M. ; GONÇALVES, JOSÉ V. A. . On existence of solution of variational multivalued elliptic equations with critical growth via the Ekeland principle. Communications in Contemporary Mathematics, v. 17, p. 1450038-35, 2015.


  1. DO Ó, JOÃO MARCOS ; MACEDO, ABIEL COSTA . Concentration-compactness principle for an inequality by D. Adams. Calculus of Variations and Partial Differential Equations, v. 51, p. 195-215, 2014.
  2. de PAIVA, F. O. V. ; da Silva, Edcarlos D. . Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values. Acta Mathematica Sinica. English Series (Print), v. 30, p. 229-250, 2014.
  3. da Silva, Edcarlos D.; Furtado, M.F ; Silva, M. L. . Quasilinear Schrodinger equations with asymptotically linear nonlinearities. Advanced Nonlinear Studies, v. 3, p. 671-686, 2014.
  4. ALVES, CLAUDIANOR O. ; Gonçalves, José V. ; SANTOS, JEFFERSON A., Strongly nonlinear multivalued elliptic equations on a bounded domain. Journal of Global Optimization, v. 58, p. 565-593, 2014.
  5. Goncalves, J. V.; Carvalho, M. L. . Multivalued Equations on a Bounded Domain via Minimization on Orlicz-Sobolev Spaces. Journal of Convex Analysis, v. 21, p. 201-218, 2014.
  6. FERREIRA, L. C. F. ; LIMA, L. S. M. . Self-similar solutions for active scalar equations in Fourier-Besov-Morrey spaces. Monatshefte fur Mathematik (Print), v. 175, p. 491-509, 2014.
  7. CUNHA, ALYSSON; PASTOR, ADEMIR. The IVP for the Benjamin-Ono-Zakharov-Kuznetsov equation in weighted Sobolev spaces. Journal of Mathematical Analysis and Applications (Print), v. 417, p. 660-693, 2014.
  8. MATOS, V. ; AZEVEDO, A. V. ; DA MOTA, J. C. ; MARCHESIN, D., Bifurcation under parameter change of Riemann solutions for nonstrictly hyperbolic systems. Zeitschrift fur Angewandte Mathematik und Physik  66  1413-1452, 2015.
  9. Calixto, Wesley Pacheco ; PAULO COIMBRA, A. ; MOTA, JESUS CARLOS DA ; WU, MARCEL ; DA Silva, WANDER G. ; ALVARENGA, BERNARDO ; BRITO, LEONARDO DA CUNHA ; ALVES, AYLTON JOSE ; DOMINGUES, ELDER GERALDO ; NETO, DAYWES PINHEIRO . Troubleshooting in geoelectrical prospecting using real-coded genetic algorithm with chromosomal extrapolation. International Journal of Numerical Modelling (Print), 28: 78–95, 2015.
  10. CALIXTO, W. P. ; PEREIRA, T. M. ; DA MOTA, J. C. ; ALVES, A. J. ; DOMINGUES, E. G. ; DOMINGOS, J. L. ; COIMBRA, A. P. ; ALVARENGA, B. . Desenvolvimento de Operador Matemático para Algoritmos de Otimização Heurísticos Aplicado a Problema de Geoprospecção. Tendências em Matemática Aplicada e Computacional, v. 15, p. 01-24, 2014.


  1. Edcarlos da Silva; SEVERO, U. . On the existence of standing wave solutions for a class of quasilinear Schrödinger systems. Journal of Mathematical Analysis and Applications (Print), v. 412, p. 763-775, 2013.
  2. Silva, E. A. B. E. ; Silva, Maxwell L. . Continuous dependence of solutions for indefinite semilinear elliptic problems. Electronic Journal of Differential Equations, v. 2013, p. 1-17, 2013.
  1. IORIO JUNIOR, R. J. ; M. Molina ; ALARCON, Eduardo Arbieto . On the Cauchy problem associated to the Brinkman Flow in R^n. Applicable Analysis and Discrete Mathematics, v. 6, p. 214-237, 2012.
  1. J. V. A. Goncalves ; da Silva, Edcarlos D. ; Maxwell L. Silva . On positive solutions for a fourth order asymptotically linear elliptic equation under Navier boundary conditions. Journal of Mathematical Analysis and Applications (Print), v. 384, p. 387-399, 2011.
  2. Vitoriano e Silva, Fábio. On the steady viscous flow of a nonhomogeneous asymmetric fluid. Annali di Matematica Pura ed Applicata, v. 192, p. 665-672, 2011.
  3. DA MOTA, J. C.; SANTOS, M. M. . An Application of the Monotone Iterative Method to a Combustion Problem in Porous Media. Nonlinear Analysis: Real World Applications, v. 12, p. 1192-1201, 2011.
  4. CALIXTO, W. P. ; DA MOTA, J. C. ; ALVARENGA, B. P. . Methodology for the reduction of parameters in the inverse transformation of Schwarz-Christoffel applied to electromagnetic devices with axial geometry. International Journal of Numerical Modelling (Print), v. 24, p. 568-582, 2011.
  5. Goncalves, J. V. A.; REZENDE, M. C. ; Santos, C. A. . Positive solutions for a mixed and singular quasilinear problem. Nonlinear Analysis, v. 74, p. 132-140, 2011.
  6. Abrantes Santos, J. ; ALVES, C. O. ; Goncalves, J. V. A. . On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions. Journal of Convex Analysis, v. 18, p. 627-644, 2011.


  1. Goncalves, J. V.; Silva F. K.; Solutions of quasilinear elliptic equations in RN decaying at infinity to a non-negative number. Complex variables and elliptic equations (Print), v. 55, p. 549-571, 2010.
  2. Goncalves, J. V.; Silva, F. K.; Existence and Non-existence of Ground State Solutions for Elliptic Equations with a Convection Term. Nonlinear Analysis, v. 72, p. 904-915, 2010.
  3. CORREA, F. J. ; Goncalves, J. V. A.; Angelo Roncalli.; On a class of fourth order nonlinear elliptic equations under Navier boundary conditions. Analysis and Applications, v. 8, p. 185-197, 2010.
  4. Goncalves, J. V. A.; Jiazheng Zhou.; Remarks on existence of large solutions for $p$-Laplacian equations with strongly nonlinear terms satisfying the Keller-Osserman condition. Advanced Nonlinear Studies, v. 10, p. 757-769, 2010.
  5. CALIXTO, W. P.; ALVARENGA, B. P.; DA MOTA, J. C.; WU. M. (Marcel Wu) ; BRITO, L. C.; ALVES, A. J.; MARTINS NETO, L.; ANTUNES, C. F. R. L.; Electromagnetic Problems Solving by Conformal Mapping: A Mathematical Operator for Optimization. Mathematical Problems in Engineering (Print), v. 2010, p. 1-19, 2010.
  6. da Silva, Edcarlos D.; Multiplicity of Solutions for Gradient Systems Using Landesman-Lazer Conditions. Abstract and Applied Analysis, v. 2010, p. 1-22, 2010.
  7. da Silva, Edcarlos D.; Multiplicity of solutions for gradient systems. Electronic Journal of Differential Equations, v. Vol. 2, p. 1/64-15, 2010.
  8. da Silva, Edcarlos D.; Multiplicity of solutions for gradient systems with strong resonance at higher eigenvalues?. Nonlinear Analysis, v. 72, p. 3918-3928, 2010.
  9. da Silva, Edcarlos D.; Quasilinear elliptic problems under strong resonance conditions. Nonlinear Analysis, v. 73, p. 2451-2462, 2010.