3 papers
math.AP2024
Renormalized Solutions for Quasilinear Elliptic Equations with Robin Boundary Conditions, Lower-Order Terms, and Data
Juan A. Apaza, Manassés de Souza
In this paper, we establish the existence of a solution for a class of quasilinear equations characterized by the prototype: \begin{equation} \left\{\begin{aligned} -\operatorname{…
math.AP2023
Removable singularities in the boundary for quasilinear elliptic equations
Juan A. Apaza, Manassés de Souza
In this work, we are interested in to study removability of a singular set in the boundary for some classes of quasilinear elliptic equations. We will approach this question in two…
math.AP2014
On a class fractional Schrödinger equations with indefinite potential involving critical exponential growth
Manassés de Souza, Yane Lisley Araújo
It is established the existence and multiplicity of weak solutions for a class of nonlocal equations involving the fractional laplacian, nonlinearities with critical exponential gr…