Existência de soluções para uma classe de problemas elípticos via métodos variacionais.

Abstract

In this work we use variational methods to show the existence of weak solutions for two types problems. The first of them is a nonlinear problem of the form 8<:− u + u = k hu + g(x, u), R Nu 2 H1(RN) where N 3. The second, is related with a following Ordinary Differential Equations of the form ¨u + G 0 (u) = f(t).