Sign-changing and multiple solutions for the <mml:math alttext="$p$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Laplacian

Carl, Siegfried; Perera, Kanishka

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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

Copyright © 2002 Hindawi Publishing Corporation. 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.

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.