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Symmetry breaking for nonhomogeneous Hénon-type problems involving the 1-Laplacian operator
Marcos T.O. Pimenta, Yino B. Cueva Carranza, Giovany M. Figueiredo and Olimpio Hiroshi Miyagaki Nonlinear Analysis: Real World Applications 88 104480 (2026) https://doi.org/10.1016/j.nonrwa.2025.104480
On the Hénon-type Elliptic Systems Driven by the (p,1)-Laplacian Operator: Symmetry Breaking
New minimax theorems for lower semicontinuous functions and applications
Claudianor O. Alves, Giovanni Molica Bisci and Ismael S. da Silva ESAIM: Control, Optimisation and Calculus of Variations 31 10 (2025) https://doi.org/10.1051/cocv/2024005
The asymptotic behavior of constant sign and nodal solutions of (p,q)-Laplacian problems as p goes to 1
A 1-Laplacian equation with critical and discontinuous nonlinearities
Marcos Tadeu de Oliveira Pimenta, João R. dos Santos Júnior and Matheus F. Stapenhorst Journal of Differential Equations 402 463 (2024) https://doi.org/10.1016/j.jde.2024.05.014
Existence results for the 1-Laplacian problem with a critical concave–convex nonlinearity
Marcos T. O. Pimenta, Yino B. C. Carranza and Giovany M. Figueiredo Journal of Fixed Point Theory and Applications 26(4) (2024) https://doi.org/10.1007/s11784-024-01138-3
Quasilinear elliptic systems involving the 1-Laplacian operator with subcritical and critical nonlinearities
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1
Francesco Della Pietra, Francescantonio Oliva and Sergio Segura de León Proceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2023) https://doi.org/10.1017/prm.2022.92
On the solutions of nonlocal 1-Laplacian equation with $ L^1 $-data
Existence of solutions to a 1-Laplacian problem with a concave-convex nonlinearity
Juan Carlos Ortiz Chata, Marcos T.O. Pimenta and Sergio Segura de León Journal of Mathematical Analysis and Applications 525(2) 127149 (2023) https://doi.org/10.1016/j.jmaa.2023.127149
Symmetry and symmetry breaking for Hénon-type problems involving the 1-Laplacian operator
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity
Marcos T. O. Pimenta, Gelson Conceição G. dos Santos and João R. Santos Júnior Proceedings of the Royal Society of Edinburgh: Section A Mathematics 1 (2022) https://doi.org/10.1017/prm.2022.86
Multiple Ordered Solutions for a Class of Problems Involving the 1-Laplacian Operator
Anisotropic 1-Laplacian problems with unbounded weights
Juan C. Ortiz Chata, Marcos T. O. Pimenta and Sergio Segura de León Nonlinear Differential Equations and Applications NoDEA 28(6) (2021) https://doi.org/10.1007/s00030-021-00717-4
A Berestycki-Lions' type result to a quasilinear elliptic problem involving the 1-Laplacian operator
Existence and Profile of Ground-State Solutions to a 1-Laplacian Problem in $$\mathbb {R}^N$$
Claudianor O. Alves, Giovany M. Figueiredo and Marcos T. O. Pimenta Bulletin of the Brazilian Mathematical Society, New Series 51(3) 863 (2020) https://doi.org/10.1007/s00574-019-00179-4
The convective eigenvalues of the one–dimensional p–Laplacian as p → 1
B. de la Calle Ysern, J.C. Sabina de Lis and S. Segura de León Journal of Mathematical Analysis and Applications 484(1) 123738 (2020) https://doi.org/10.1016/j.jmaa.2019.123738
The Dirichlet problem for singular elliptic equations with general nonlinearities
Virginia De Cicco, Daniela Giachetti, Francescantonio Oliva and Francesco Petitta Calculus of Variations and Partial Differential Equations 58(4) (2019) https://doi.org/10.1007/s00526-019-1582-4
Bounded solutions to the 1-Laplacian equation with a total variation term
Maria Emilia Amendola, Giuliano Gargiulo and Elvira Zappale ESAIM: Control, Optimisation and Calculus of Variations 20(1) 42 (2014) https://doi.org/10.1051/cocv/2013053
On some quasilinear equations involving the p-Laplacian with Robin boundary conditions