Marcos Tadeu de Oliveira Pimenta

@unesp.br

Departamento de Matemática e Computação, Faculdade de Ciências e Tecnologia
São Paulo State University - Unesp

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematics, Analysis
493

Scholar Citations

12

Scholar h-index

17

Scholar i10-index

RECENT SCHOLAR PUBLICATIONS

  • Critical logarithmic double phase problems of Brezis–Nirenberg type with nonlinear boundary condition: YB Cueva Carranza et al.
    YBC Carranza, MTO Pimenta, P Winkert
    Zeitschrift für angewandte Mathematik und Physik 77 (4), 122 , 2026
    2026
  • Symmetry breaking for nonhomogeneous Hénon-type problems involving the 1-Laplacian operator
    MTO Pimenta, YBC Carranza, GM Figueiredo, OH Miyagaki
    Nonlinear Analysis: Real World Applications 88, 104480 , 2026
    2026
  • Multiple critical points theorems for a class of nonsmooth functionals and applications to problems driven by 1-Laplacian and discontinuous nonlinearities
    IS da Silva, MTO Pimenta, PF Pontes
    arXiv preprint arXiv:2602.20858 , 2026
    2026
  • Existence of Solutions to the 1− Laplacian problem with a critical singular nonlinearity
    YC Carranza, MTO Pimenta, GM Figueiredo
    2025
  • Strongly singular problems with unbalanced growth
    MTO Pimenta, P Winkert
    Annali di Matematica Pura ed Applicata (1923-) 204 (5), 2129-2145 , 2025
    2025
    Citations: 4
  • On critical logarithmic double phase problems with locally defined perturbation
    YBC Carranza, MTO Pimenta, F Vetro, P Winkert
    Journal of Mathematical Analysis and Applications, 130047 , 2025
    2025
    Citations: 3
  • Degenerate Kirchhoff problems with nonlinear Neumann boundary condition
    F Borer, MTO Pimenta, P Winkert
    Journal of Functional Analysis 289 (4), 110933 , 2025
    2025
    Citations: 5
  • A Nehari Approach for Asymptotically Linear Elliptic Problems
    JRS Nascimento, MTO Pimenta, JRS Júnior
    Bulletin of the Brazilian Mathematical Society, New Series 56 (2), 32 , 2025
    2025
  • The asymptotic behavior of constant sign and nodal solutions of (p, q)-Laplacian problems as p goes to 1
    GM Figueiredo, MTO Pimenta, P Winkert
    Nonlinear Analysis 251, 113677 , 2025
    2025
    Citations: 1
  • Existence results for the 1-Laplacian problem with a critical concave–convex nonlinearity
    MTO Pimenta, YBC Carranza, GM Figueiredo
    Journal of Fixed Point Theory and Applications 26 (4), 49 , 2024
    2024
    Citations: 2
  • Existence, sign and asymptotic behaviour for a class of integro-differential elliptic type problems
    MAL Bahia, MTO Pimenta, JRS Junior
    Calculus of Variations and Partial Differential Equations 63 (5), 122 , 2024
    2024
  • Quasilinear elliptic systems involving the 1-Laplacian operator with subcritical and critical nonlinearities
    YBC Carranza, MTO Pimenta
    Rendiconti del Circolo Matematico di Palermo Series 2 73 (3), 1037-1058 , 2024
    2024
    Citations: 5
  • On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity
    MTO Pimenta, GCG dos Santos, JRS Júnior
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics 154 (1 … , 2024
    2024
    Citations: 7
  • The asymptotic behavior of constant sign and nodal solutions of ( p , q )-Laplacian problems as p goes to 1
    GM Figueiredo, MTO Pimenta, P Winkert
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 251, 14 , 2024
    2024
  • Estudo de uma equação logística utilizando o método de sub-supersolução
    WV Felipe, MTO Pimenta
    Proceeding Series of the Brazilian Society of Computational and Applied … , 2023
    2023
  • Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator
    MTO Pimenta, AS Gonzaga
    Communications in Contemporary Mathematics 25 (08), 2250021 , 2023
    2023
    Citations: 6
  • Existence of solutions to a 1-Laplacian problem with a concave-convex nonlinearity
    JCO Chata, MTO Pimenta, SS de León
    Journal of Mathematical Analysis and Applications 525 (2), 127149 , 2023
    2023
    Citations: 11
  • The 2-dimensional nonlinear Schrödinger–Maxwell system
    A Azzollini, MTO Pimenta
    Nonlinear Analysis 230, 113224 , 2023
    2023
    Citations: 4
  • On asymptotically linear elliptic problems
    JR Nascimento, MTO Pimenta, JRS Júnior
    arXiv preprint arXiv:2210.05452 , 2022
    2022
  • Multiple ordered solutions for a class of problems involving the 1-Laplacian operator
    G Santos, GM Figueiredo, MTO Pimenta
    The Journal of Geometric Analysis 32 (4), 140 , 2022
    2022
    Citations: 6

MOST CITED SCHOLAR PUBLICATIONS

  • Existence and concentration of solutions for a class of biharmonic equations
    MTO Pimenta, SHM Soares
    Journal of Mathematical Analysis and Applications 390 (1), 274-289 , 2012
    2012
    Citations: 47
  • Nehari method for locally Lipschitz functionals with examples in problems in the space of bounded variation functions
    GM Figueiredo, MTO Pimenta
    Nonlinear Differential Equations and Applications NoDEA 25 (5), 47 , 2018
    2018
    Citations: 46
  • Strauss’ and Lions’ Type Results in ) with an Application to an 1-Laplacian Problem
    GM Figueiredo, MTO Pimenta
    Milan Journal of Mathematics 86 (1), 15-30 , 2018
    2018
    Citations: 42
  • Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials
    GM Figueiredo, MTO Pimenta
    Journal of Mathematical Analysis and Applications 459 (2), 861-878 , 2018
    2018
    Citations: 35
  • Existence of ground state solutions to Dirac equations with vanishing potentials at infinity
    GM Figueiredo, MTO Pimenta
    Journal of Differential Equations 262 (1), 486-505 , 2017
    2017
    Citations: 31
  • On existence and concentration of solutions to a class of quasilinear problems involving the 1-Laplace operator
    CO Alves, MTO Pimenta
    Calculus of Variations and Partial Differential Equations 56, 143 , 2017
    2017
    Citations: 29
  • Nodal solutions to quasilinear elliptic problems involving the 1-laplacian operator via variational and approximation methods
    GM Figueiredo, MTO Pimenta
    Indiana University Mathematics Journal 71 (2), 439-462 , 2022
    2022
    Citations: 20
  • Existence and Profile of Ground-State Solutions to a 1-Laplacian Problem in
    CO Alves, GM Figueiredo, MTO Pimenta
    Bulletin of the Brazilian Mathematical Society, New Series 51 (3), 863-886 , 2020
    2020
    Citations: 20
  • Sub-supersolution method for a quasilinear elliptic problem involving the 1-laplacian operator and a gradient term
    GM Figueiredo, MTO Pimenta
    Journal of Functional Analysis 278 (3), 108325 , 2020
    2020
    Citations: 18
  • A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator
    JCO Chata, MTO Pimenta
    Journal of Mathematical Analysis and Applications 500 (1), 125074 , 2021
    2021
    Citations: 17
  • Singularly perturbed biharmonic problems with superlinear nonlinearities
    MTO Pimenta, SHM Soares
    2014
    Citations: 17
  • Some existence results of bounded variation solutions to 1-biharmonic problems
    S Barile, MTO Pimenta
    Journal of Mathematical Analysis and Applications 463 (2), 726-743 , 2018
    2018
    Citations: 13
  • Existence of solutions to a 1-Laplacian problem with a concave-convex nonlinearity
    JCO Chata, MTO Pimenta, SS de León
    Journal of Mathematical Analysis and Applications 525 (2), 127149 , 2023
    2023
    Citations: 11
  • Existence of a BV solution for a mean curvature equation
    MTO Pimenta, M Montenegro
    Journal of Differential Equations 299, 51-64 , 2021
    2021
    Citations: 11
  • Existence of solution for a class of quasilinear elliptic problem without -condition
    CO Alves, ED Silva, MTO Pimenta
    Analysis and Applications 17 (04), 665-688 , 2019
    2019
    Citations: 11
  • Multiplicity results for the fractional Laplacian in expanding domains
    GM Figueiredo, MTO Pimenta, G Siciliano
    Mediterranean Journal of Mathematics 15 (3), 137 , 2018
    2018
    Citations: 11
  • Multiplicity of solutions for a biharmonic equation with subcritical or critical growth
    GM Figueiredo, MTO Pimenta
    Bulletin of the Belgian Mathematical Society-Simon Stevin 20 (3), 519-534 , 2013
    2013
    Citations: 10
  • Multiplicity of solutions for a class of quasilinear problems involving the 1-Laplacian operator with critical growth
    CO Alves, A Ourraoui, MTO Pimenta
    Journal of Differential Equations 308, 545-574 , 2022
    2022
    Citations: 8
  • On a quasilinear elliptic problem involving the 1-biharmonic operator and a Strauss type compactness result
    EJ Hurtado, MTO Pimenta, OH Miyagaki
    ESAIM: Control, Optimisation and Calculus of Variations 26, 86 , 2020
    2020
    Citations: 8
  • Lotka–Volterra models with fractional diffusion
    MO Alves, MTO Pimenta, A Suárez
    Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147 (3 … , 2017
    2017
    Citations: 8