Existence and Multiplicity of Positive Solutions to a Class of Quasilinear Elliptic Equations in http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq1_HTML.gif

Boundary Value Problems20102010:579387

DOI: 10.1155/2010/579387

Received: 9 October 2009

Accepted: 12 February 2010

Published: 8 March 2010

Abstract

We consider the following class of quasilinear elliptic equations http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq2_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq3_HTML.gif for all http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq4_HTML.gif , where http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq5_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq6_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq7_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq8_HTML.gif . We allow the potential http://static-content.springer.com/image/art%3A10.1155%2F2010%2F579387/MediaObjects/13661_2009_Article_939_IEq9_HTML.gif to be unbounded below and prove the existence and multiplicity for positive solutions.

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Authors’ Affiliations

(1)
Center for General Education, Chang Gung University

Copyright

© Tsing-San Hsu. 2010

This article is published under license to BioMed Central Ltd. 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.