124 citations · 318 across the 88 of their papers we have counts for
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Existence and multiplicity of solutions for a nonlinear Schrödinger equation with non-local regional diffusion
Claudianor O. Alves, César E. Torres Ledesma
In this article we are interested in the following non-linear Schrödinger equation with non-local regional diffusion $$ (-Δ)_{ρ_ε}^αu + u = f(u) \hbox{ in } \mathbb{R}^n, \quad u \…
Existence and concentration of solution for a non-local regional Schrödinger equation with competing potentials
Claudianor O. Alves, César E. Torres Ledesma
In this paper, we study the existence and concentration phenomena of solutions for the following non-local regional Schrödinger equation $$ \left\{ \begin{array}{l} ε^{2α}(-Δ)_ρ^α…
Singularly perturbed critical Choquard equations
Claudianor O. Alves, Fashun Gao, Marco Squassina +1
In this paper we study the semiclassical limit for the singularly perturbed Choquard equation $$ -\vr^2Δu +V(x)u =\vr^{μ-3}\Big(\int_{\R^3} \frac{Q(y)G(u(y))}{|x-y|^μ}dy\Big)Q(x)g(…
Existence, regularity and concentration phenomenon of nontrivial solitary waves for a class of Generalized Kadomtsev-Petviashvili (GKP) equation in
Claudianor O. Alves, Olimpio H. Miyagaki
In this paper we establish some results concerning the existence, regularity and concentration phenomenon of nontrivial solitary waves for a Generalized Kadomtsev-Petviashvili (GKP…
Ground state solutions for fractional scalar field equations under a general critical nonlinearity
Claudianor O. Alves, Giovany M. Figueiredo, Gaetano Siciliano
In this paper we study existence of ground state solution to the following problem $$ (- Δ)^αu = g(u) \ \ \mbox{in} \ \ \mathbb{R}^{N}, \ \ u \in H^α(\mathbb R^N) $$ where …
A Hardy-Littlewood-Sobolev type inequality for variable exponents and applications to quasilinear Choquard equations involving variable exponent
Claudianor O. Alves, Leandro da S. Tavares
In this work, we have proved a version of the Hardy-Littlewood-Sobolev inequality for variable exponents. After we use the variational method to establish the existence of solution…