124 citations · 318 across the 88 of their papers we have counts for
7 papers · 1 filter
Existence of solutions for a class of fractional elliptic problems on exterior domains
Claudianor O. Alves, Giovanni Molica Bisci, Cesar E. Torres Ledesma
This work concerns with the existence of solutions for the following class of nonlocal elliptic problems \begin{equation*}\label{00} \left\{ \begin{array}{l} (-Δ)^{s}u + u = |u|^{p…
Fractional elliptic problem in exterior domains with nonlocal Neumann boundary condition
Claudianor O. Alves, Cesar E. Torres Ledesma
In this paper we consider the existence of solution for the following class of fractional elliptic problem \begin{equation}\label{00} \left\{\begin{aligned} (-Δ)^su + u &= Q(x) |u|…
Multiple positive bound state solutions of a critical Choquard equation
Claudianor O. Alves, Giovany M. Figueiredo, Riccardo Molle
IIn this paper we consider the problem $$ \left\{ \begin{array}{rcl} -Δu+V_λ(x)u=(I_μ*|u|^{2^{*}_μ})|u|^{2^{*}_μ-2}u \ \ \mbox{in} \ \ \mathbb{R}^{N},\\ u>0 \ \ \mbox{in} \ \ \math…
A minimum problem with free boundary and subcritical growth in Orlicz spaces
Jun Zheng, Leandro S. Tavares, Claudianor O. Alves
The aim of this paper is to study the heterogeneous optimization problem \begin{align*} \mathcal {J}(u)=\int_Ω(G(|\nabla u|)+qF(u^+)+hu+λ_{+}χ_{\{u>0\}} )\text{d}x\rightarrow\text{…
Existence and profile of ground-state solutions to a Laplacian problem in
Claudianor O. Alves, Giovany M. Figueiredo, Marcos T. O. Pimenta
In this work we prove the existence of ground state solutions for the following class of problems \begin{equation*} \left\{ \begin{array}{ll} \displaystyle - Δ_1 u + (1 + λV(x))\fr…
Existence and concentration phenomena for a class of indefinite variational problems with critical growth
Claudianor O. Alves, Geilson F. Germano
In this paper we are interested to prove the existence and concentration of ground state solution for the following class of problems $$ -Δu+V(x)u=A(εx)f(u), \quad x \in \R^{N}, \e…