6 papers
Choquard equations via nonlinear Rayleigh quotient for concave-convex nonlinearities
Marcos L. M. Carvalho, Edcarlos D. Silva, Claudiney Goulart
It is established existence of ground and bound state solutions for Choquard equation considering concave-convex nonlinearities in the following form $$ \begin{array}{rcl} -Δu +V(x…
Compact embedding theorems and a Lions' type Lemma for fractional Orlicz-Sobolev spaces
Edcarlos D. Silva, Marcos L. M. Carvalho, José Carlos de Albuquerque +1
In this paper we are concerned with some abstract results regarding to fractional Orlicz-Sobolev spaces. Precisely, we ensure the compactness embedding for the weighted fractional…
Existence of bound and ground states for fractional coupled systems in
João Marcos do Ó, Edcarlos Domingos da Silva, José Carlos de Albuquerque
In this work we consider the following class of nonlocal linearly coupled systems involving Schrödinger equations with fractional laplacian $$ \left\{ \begin{array}{lr} (-Δ)^{s_{1}…
Multiplicity of Solutions for Quasilinear Elliptic Problems
M. L. M. Carvalho, J. V. Goncalves, Edcarlos D. da Silva +1
It is established existence, uniqueness and multiplicity of solutions for a quasilinear elliptic problem problems driven by -Laplacian operator. Here we consider the reflexive a…
Positive ground states for a class of superlinear -Laplacian coupled systems involving Schrödinger equations
João Marcos do Ó, Edcarlos Domingos da Silva, José Carlos de Albuquerque
We study the existence of positive solutions for the following class of -Laplacian coupled systems \[ \left\{ \begin{array}{lr} -Δ_{p} u+a(x)|u|^{p-2}u=f(u)+ αλ(x)|u|^{α-2}u…
Multiplicity of solutions for gradient systems under strong resonance at the first eigenvalue
Edcarlos D. da Silva
In this paper we establish existence and multiplicity of solutions for an elliptic system which has strong resonance at first eigenvalue. To describe the resonance, we use an eigen…