Chapter

Contributions to Nonlinear Analysis

Volume 66 of the series Progress in Nonlinear Differential Equations and Their Applications pp 17-32

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

  • Claudianor O. AlvesAffiliated withDepartamento de Matemática e Estatística, Universidade Federal de Campina Grande
  • , Marco A.S. SoutoAffiliated withDepartamento de Matemática e Estatística, Universidade Federal de Campina Grande

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Abstract

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.

Keywords

Variational methods Sobolev embedding quasilinear operator