124 citations · 318 across the 88 of their papers we have counts for
17 papers · 2 filters
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…
Concentration phenomena for fractional elliptic equations involving exponential critical growth
Claudianor O. Alves, João Marcos do Ó, Olímpio H. Miyagaki
In this paper, we deal with the following singular perturbed fractional elliptic problem $ ε^{} (-Δ)^{1/2}{u}+V(z)u=f(u)\,\,\, \mbox{in} \,\,\, \mathbb{R}, $ where i…
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 $$ \begin{array}{ll} -Δu + (λa(x)+1)u=\displaystyle\big(\frac{1}{|x|^μ}\ast |u|^p\big)|u|^{p-2}u \mbox{ in } \,\…
Multiplicity results for a class of quasilinear equations with exponential critical growth
Claudianor O. Alves, Luciana R. de Freitas
In this work, we prove the existence and multiplicity of positive solutions for the following class of quasilinear elliptic equations $$ \left \{ \begin{array}{lll} -ε^{N}Δ_{N} u +…
Existence of solution for a nonlocal problem in via bifurcation theory
Claudianor O. Alves, Romildo N. de Lima, Marco A. S. Souto
In this paper, we study the existence of solution for the following class of nonlocal problem, $$ \left\{ \begin{array}{lcl} -Δu=\left(λf(x)-\int_{\R^N}K(x,y)|u(y)|^γdy\right)u,\qu…
Nodal ground state solution to a biharmonic equation via dual method
Claudianor O. Alves, Alânnio B. Nóbrega
Using dual method we establish the existence of nodal ground state solution for the following class of problems $$ \left\{ \begin{array}{l} Δ^2 u = f(u), \quad \mbox{in} \quad Ω, \…