Claudianor O. Alves

Existence of Solutions for a Class of Problems in IR N Involving the p(x)-Laplacian

In this work, we study the existence of solutions for a class of problems involving p(x)-Laplacian operator in IR N. Using variational techniques we show some results of existence for a class of problems involving critical and subcritical growth.

Existence of least energy nodal solution for a Schrödinger–Poisson system in bounded domains

We prove the existence of least energy nodal solution for a class of Schrödinger–Poisson system in a bounded domain

Multiplicity of Positive Solutions For a Quasilinear Problem in IRN Via Penalization Method

{\Omega \subset {\mathbb{R}}^3}

On superlinear p(x)-Laplacian equations in RN

Ω⊂R3 with nonlinearity having a subcritical growth.

Existence and Multiplicity of Solution for a Class of Quasilinear Equations

In this paper, we study the existence and concentration of positive solution for the following class of fractional elliptic equation

Multiplicity and concentration of solutions for a quasilinear Choquard equation

\begin{aligned} \epsilon ^{2s} (-\Delta )^{s}{u}+V(z)u=f(u) \quad \text{ in } \; \mathbb {R}^{N}, \end{aligned}