46 citations · 137 across the 27 of their papers we have counts for
5 papers · 1 filter
Existence of solutions for a nonlinear Choquard equation with potential vanishing at infinity
Claudianor O. Alves, Giovany M. Figueiredo, Minbo Yang
We study the following class of nonlinear Choquard equation, $$ -Δu +V(x)u =\Big( \frac{1}{|x|^μ}\ast F(u)\Big)f(u) \quad \mbox{in} \quad \R^N, $$ where , , is…
Multi-bump solutions for Choquard equation with deepening potential well
Claudianor O. Alves, Alânnio B. Nóbrega, Minbo Yang
We study the existence of multi-bump solutions to Choquard equation $$ \begin{array}{ll} -Δu + (λa(x)+1)u=\displaystyle\big(\frac{1}{|x|^μ}\ast |u|^p\big)|u|^{p-2}u \mbox{ in } \,\…
Existence of solutions for a nonlocal variational problem in with exponential critical growth
Claudianor O. Alves, Minbo Yang
We study the existence of solution for the following class of nonlocal problem, $$ -Δu +V(x)u =\Big( I_μ\ast F(x,u)\Big)f(x,u) \quad \mbox{in} \quad \mathbb{R}^2, $$ where is a…
Existence of positive multi-bump solutions for a Schrödinger-Poisson system in
Claudianor O. Alves, Minbo Yang
In this paper we are going to study a class of Schrödinger-Poisson system $$ \left\{ \begin{array}{ll} - Δu + (λa(x)+1)u+ ϕu = f(u) \mbox{ in } \,\,\, \mathbb{R}^{3},\\ -Δϕ=u^2 \mb…
Groundstates for nonlinear fractional Choquard equations with general nonlinearities
Zifei Shen, Fashun Gao, Minbo Yang
We study the following nonlinear Choquard equation driven by a fractional Laplacian: with ,…