O método das sub e supersoluções para um sistema do tipo (p,q)-laplaciano.

Abstract

In this work we discuss the existence of weak positive solutions for a system (p, q)- Laplacian with change of sign in the weight functions with bounded domain and smooth boundary. To ensure the existence of weak positive solutions first will ensure a positive solution to a classic problem that is the problem eigenvalue p-Laplacian value, and the "linear"problem with zero condition p-Laplacian Dirichelt. Having done this we use the existence of these solutions to ensure that the problem in question admits a weak positive solution via the method of sub-super-solutions.