A Class of http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_IEq1_HTML.gif - http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_IEq2_HTML.gif -Laplacian Type Equation with Potentials Eigenvalue Problem in http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_IEq3_HTML.gif

  • Mingzhu Wu1 and

    Affiliated with

    • Zuodong Yang1, 2Email author

      Affiliated with

      Boundary Value Problems20092009:185319

      DOI: 10.1155/2009/185319

      Received: 20 October 2009

      Accepted: 6 December 2009

      Published: 9 December 2009

      Abstract

      The nonlinear elliptic eigenvalue problem
      http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_Equa_HTML.gif
      http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_IEq4_HTML.gif , where http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_IEq5_HTML.gif and http://static-content.springer.com/image/art%3A10.1155%2F2009%2F185319/MediaObjects/13661_2009_Article_832_IEq6_HTML.gif are studied. The key ingredient is a special constrained minimization method.

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      Authors’ Affiliations

      (1)
      School of Mathematics Science, Institute of Mathematics, Nanjing Normal University
      (2)
      College of Zhongbei, Nanjing Normal University

      Copyright

      © M.Wu and Z. Yang. 2009

      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.