Existencia de Soluciones Radiales para Problemas Semilineales Elípticos Indefinidos

Abstract

We study the existence of radial solutions of indefinite semilinear elliptic equations in the unit ball in Rn (n>=3) with Dirichlet boundary conditions, whose nonlinear term has the form lamda.m(|x|)f(u) where m(|.|) is radially symmetric, discontinuous and changes sign. This study is realized using variational tecniques and especially the Ambrosetti-Rabinowitz’s “Mountain Pass Lemma”.

Keywords

• semilinear equation
• boundary value problem
• radial solution
• symmetric domain
• unit ball
• change of sign