Infinitely Many Solutions of Superlinear Elliptic Equation

Anmin Mao and Yang Li

Abstract and Applied Analysis, 2013, vol. 2013, 1-6

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:769620

DOI: 10.1155/2013/769620

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