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Infinitely Many Solutions of Superlinear Elliptic Equation

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  • Anmin Mao
  • Yang Li

Abstract

Via the Fountain theorem, we obtain the existence of infinitely many solutions of the following superlinear elliptic boundary value problem: in on , where is a bounded domain with smooth boundary and is odd in and continuous. There is no assumption near zero on the behavior of the nonlinearity , and does not satisfy the Ambrosetti-Rabinowitz type technical condition near infinity.

Suggested Citation

  • Anmin Mao & Yang Li, 2013. "Infinitely Many Solutions of Superlinear Elliptic Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, May.
    • Handle: RePEc:hin:jnlaaa:769620
    DOI: 10.1155/2013/769620
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