Jefferson A. Santos

Strauss and Lions type results for a class of Orlicz-Sobolev spaces and applications

The main goal this work is to prove two results like Strauss and Lions for Orlicz-Sobolev spaces. After, we use these results for study the existence of solutions for a class of quasilinear problems in

Strongly nonlinear multivalued elliptic equations on a bounded domain

\mathbb{R}^{N}

On a Φ-Kirchhoff multivalued problem with critical growth in an Orlicz–Sobolev space

.

Radial solutions of quasilinear equations in Orlicz–Sobolev type spaces

In this work we study the existence of nontrivial solution for the following class of multivalued quasilinear problems

Multiplicity of solutions for a class of quasilinear equations involving critical Orlicz-Sobolev nonlinear term

\begin{aligned} \displaystyle -\text{ div } ( \phi (|\nabla u|) \nabla u) - b(u)u \in \lambda \partial F(x,u)\;\text{ in }\;\Omega , \quad u=0\; \text{ on }\;\partial \Omega \end{aligned}

On a nonlocal multivalued problem in an Orlicz-Sobolev space via Krasnoselskii's genus

where

Existence of positive solutions for a class of semipositone quasilinear problems through Orlicz-Sobolev space

\Omega \subset \mathbb{R }^N