3 citations · 4 across the 16 of their papers we have counts for
18 papers
Existence of solutions for elliptic problems involving the -Laplacian operator and a discontinuous superlinear nonlinearity
Marcos A. V. Costa, Olímpio H. Miyagaki, Marcos T. O. Pimenta
In this paper, we study a class of quasilinear elliptic problems involving the Laplacian operator and a discontinuous superlinear nonlinearity governed by the Heaviside fun…
On a quasilinear elliptic problem involving the 1-laplacian operator and a discontinuous nonlinearity
Marcos T. O. Pimenta, Gelson C. G. Santos, João R. Santos Júnior
In this work, we study a quasilinear elliptic problem involving the 1-laplacian operator, with a discontinuous, superlinear and subcritical nonlinearity involving the Heaviside fun…
On asymptotically linear elliptic problems
José Roberto Nascimento, Marcos Tadeu O. Pimenta, João R. Santos Júnior
In this paper we prove the existence of a signed ground state solution in the mountain pass level for a class of asymptotically linear elliptic problems, even when the nonlinearity…
The 2-dimensional nonlinear Schrodinger-Maxwell system
Antonio Azzollini, Marcos Tadeu de Oliveira Pimenta
In this paper we carry on the study of a system recently introduced by the first author as the planar version of the well known electrostatic Schrödinger - Maxwell equations. In th…
Multiplicity of solutions for a class of quasilinear problems involving the -Laplacian operator with critical growth
Claudianor O. Alves, Anass Ourraoui, Marcos T. O. Pimenta
The aim of this paper is to establish two results about multiplicity of solutions to problems involving the Laplacian operator, with nonlinearities with critical growth. To be…
Existence and profile of ground-state solutions to a Laplacian problem in
Claudianor O. Alves, Giovany M. Figueiredo, Marcos T. O. Pimenta
In this work we prove the existence of ground state solutions for the following class of problems \begin{equation*} \left\{ \begin{array}{ll} \displaystyle - Δ_1 u + (1 + λV(x))\fr…