Abstract and Applied Analysis 
Volume 7 (2002), Issue 12, Pages 613-625
doi:10.1155/S1085337502207010

Sign-changing and multiple solutions for the p-Laplacian

Siegfried Carl1 and Kanishka Perera2

 1Fachbereich Mathematik und Informatik, Institut für Analysis, Martin-Luther-Universität Halle-Wittenberg, Halle D-06099, Germany
2Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901, FL, USA
Received 25 June 2002

Abstract

We obtain a positive solution, a negative solution, and a sign-changing solution for a class of p-Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.