Abstract and Applied Analysis
Volume 7 (2002), Issue 12, Pages 613-625
Sign-changing and multiple solutions for the -Laplacian
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
Copyright © 2002 Siegfried Carl and Kanishka Perera. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We obtain a positive solution, a negative solution, and a sign-changing solution for a class of -Laplacian problems with jumping nonlinearities using variational and super-subsolution methods.