3 citations · 3 across the 11 of their papers we have counts for
12 papers
Extremal parameters, multiplicity and nonexistence for a singular elliptic problem
J. C. de Albuquerque, M. L. M. Carvalho, Edcarlos D. Silva +1
We consider the following class of singular elliptic problems \[ \begin{cases} -Δu = -\dfrac{u}{|u|^{β+1}}χ_{\{|u|>0\}} +λ|u|^{p-1}u, & \text{in }Ω,\\[1mm] u=0, & \text{on }\partia…
Quasilinear nonlocal elliptic problems with prescribed norm in the -subcritical and -critical growth
Edcarlos D. Silva, J. L. A. Oliveira, C. Goulart
It is established existence of solution with prescribed norm for the following nonlocal elliptic problem: \begin{equation*} \left\{\begin{array}{cc} \displaystyle (-Δ)^s_p u\…
On prescribed energy saddle-point solutions to indefinite problems
Yavdat Il'yasov, Edcarlos D. Silva, Maxwell L. Silva
A minimax variational principle for saddle-point solutions with prescribed energy levels is introduced. The approach is based on the development of the linking theorem to the energ…
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…
Existence of solution for a class of quasilinear problem in Orlicz-Sobolev space without -condition
Claudianor O. Alves, Edcarlos D. Silva, Marcos T. O. Pimenta
\noindent In this paper we study existence of solution for a class of problem of the type $$ \left\{ \begin{array}{ll} -Δ_Φ{u}=f(u), \quad \mbox{in} \quad Ωu=0, \quad \mbox{on} \qu…
On Strongly Nonlinear Eigenvalue Problems in the Framework of Nonreflexive Orlicz-Sobolev Spaces
Edcarlos D. Silva, Jose V. A. Goncalves, Kaye O. Silva
It is established existence and multiplicity of solutions for strongly nonlinear problems driven by the -Laplacian operator on bounded domains. Our main results are stated witho…
Linear Elliptic equations with nonlinear boundary conditions under strong resonance conditions
Alzaki Fadlallah, Edcarlos D. Da Silva
In this work we establish existence and multiplicity of solutions for elliptic problem with nonlinear boundary conditions under strong resonance conditions at infinity. The nonline…
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…