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A multiplicity result for a quasilinear gradient elliptic system

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  • Abdelaziz Ahammou

Abstract

The aim of this work is to establish the existence of infinitely many solutions to gradient elliptic system problem, placing only conditions on a potential function H , associated to the problem, which is assumed to have an oscillatory behaviour at infinity. The method used in this paper is a shooting technique combined with an elementary variational argument. We are concerned with the existence of upper and lower solutions in the sense of Hernández.

Suggested Citation

  • Abdelaziz Ahammou, 2001. "A multiplicity result for a quasilinear gradient elliptic system," Journal of Applied Mathematics, Hindawi, vol. 1, pages 1-16, January.
    • Handle: RePEc:hin:jnljam:934156
    DOI: 10.1155/S1110757X01000274
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