124 citations · 318 across the 88 of their papers we have counts for
8 papers · 2 filters
Multiplicity of solutions for a class of fractional elliptic problem with critical exponential growth and nonlocal Neumann condition
Claudianor O. Alves, César E. Torres Ledesma
In this paper we consider the existence and multiplicity of weak solutions for the following class of fractional elliptic problem \begin{equation}\label{00} \left\{\begin{aligned}…
Multi-bump positive solutions for a logarithmic Schrödinger equation with deepening potential well
Claudianor O. Alves, Chao Ji
This article concerns the existence of multi-bump positive solutions for the following logarithmic Schrödinger equation $$ \left\{ \begin{array}{lc} -Δu+ λV(x)u=u \log u^2, & \mbox…
A global minimization trick to solve some classes of Berestycki-Lions type problems
Claudianor Oliveira Alves
In this paper we show an abstract theorem that can be used to prove the existence of solution for a class of elliptic equation considered in Berestycki-Lions \cite{berest} and rela…
Existence of solution for a class of problem in whole without the Ambrosetti-Rabinowitz condition
Claudianor O. Alves, Marco A. S. Souto
In this paper we study the existence of solution for a class of elliptic problem in whole without the well known Ambrosetti-Rabinowitz condition. Here, we do not ass…
Existence and concentration of positive solutions for a logarithmic Schrödinger equation via penalization method
Claudianor O. Alves, Chao Ji
In this article we are concerned with the following logarithmic Schrödinger equation $$ \left\{ \begin{array}{lc} -ε^2Δu+ V(x)u=u \log u^2, & \mbox{in} \,\, \mathbb{R}^{N}, \\ %u(x…
Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential
Claudianor O. Alves, Chao Ji
In this article we use the variational method developed by Szulkin \cite{szulkin} to prove the existence of a positive solution for the following logarithmic Schrödinger equation $…