Multiple Positive Solutions of Semilinear Elliptic Problems in Exterior Domains

  • Tsing-San Hsu1 and

    Affiliated with

    • Huei-Li Lin1Email author

      Affiliated with

      Boundary Value Problems20102010:524862

      DOI: 10.1155/2010/524862

      Received: 30 July 2010

      Accepted: 30 November 2010

      Published: 12 December 2010

      Abstract

      Assume that http://static-content.springer.com/image/art%3A10.1155%2F2010%2F524862/MediaObjects/13661_2010_Article_935_IEq1_HTML.gif is a positive continuous function in http://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 http://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.