Existência de solução para problemas elípticos não lineares com expoente variável.

Abstract

In this work wc study existence of solutions for elliptic problem with variable exponents [...] Having Sublinear growth, Superlinear and Subcritical growth and Supercritical growth. To do this we prove some results of embeddings from the Sobolev spaces into the variable Lebesgue spaces. The main tools used in Variational Methods.