A multiplicity result for a quasilinear gradient elliptic system

Abdelaziz Ahammou

Journal of Applied Mathematics, 2001, vol. 1, 1-16

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.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:934156

DOI: 10.1155/S1110757X01000274

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