Multiple positive solutions of singular <mml:math alttext="$p$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-Laplacian problems by variational methods

Perera, Kanishka; Zhang, Zhitao

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Boundary Value Problems
Volume 2005 (2005), Issue 3, Pages 377-382
doi:10.1155/BVP.2005.377

Multiple positive solutions of singular p-Laplacian problems by variational methods

Kanishka Perera¹ and Zhitao Zhang²

¹Department of Mathematical Sciences, Florida Institute of Technology, Melbourne 32901, FL, USA
²Academy of Mathematics and Systems Science, Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China

Received 20 July 2004

Copyright © 2005 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 multiple positive solutions of singular p-Laplacian problems using variational methods. The techniques are applicable to other types of singular problems as well.