Abstract and Applied Analysis
Volume 2004 (2004), Issue 12, Pages 1047-1055
doi:10.1155/S1085337504403078

Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities

Abstract

Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of p-Laplace equations of gradient form. Then we study a p-Laplace-type problem with nonlinear boundary conditions.