On the Solvability of Superlinear and Nonhomogeneous Quasilinear Equations

  • Gao Jia1Email author,

    Affiliated with

    • Qing Zhao1 and

      Affiliated with

      • Chun-yan Dai1

        Affiliated with

        Boundary Value Problems20092009:156063

        DOI: 10.1155/2009/156063

        Received: 14 January 2009

        Accepted: 6 September 2009

        Published: 27 September 2009

        Abstract

        Using Mountain Pass Lemma, we obtain the existence of nontrivial weak solutions for a class of superlinear and nonhomogeneous quasilinear equations. The key factor in this paper is to use the new idea of near p-homogeneity in conjunction with variational techniques to obtain a new multiplicity result for a vast set of nonlinear equations, such as the mean curvature equation and so on.

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        Authors’ Affiliations

        (1)
        College of Science, University of Shanghai for Science and Technology

        Copyright

        © Gao Jia et al. 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.