Open Access

Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains

Boundary Value Problems20102010:524862

DOI: 10.1155/2010/524862

Received: 30 July 2010

Accepted: 30 November 2010

Published: 12 December 2010

Abstract

Assume that https://static-content.springer.com/image/art%3A10.1155%2F2010%2F524862/MediaObjects/13661_2010_Article_935_IEq1_HTML.gif is a positive continuous function in https://static-content.springer.com/image/art%3A10.1155%2F2010%2F524862/MediaObjects/13661_2010_Article_935_IEq2_HTML.gif and satisfies the suitable conditions. We prove that the Dirichlet problem https://static-content.springer.com/image/art%3A10.1155%2F2010%2F524862/MediaObjects/13661_2010_Article_935_IEq3_HTML.gif admits at least three positive solutions in an exterior domain.

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Authors’ Affiliations

(1)
Department of Natural Sciences, Center for General Education, Chang Gung University

Copyright

© Tsing-San Hsu and Huei-Li Lin. 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.