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### A multiplicity result for a quasilinear gradient elliptic system

Abdelaziz Ahammou
Source: J. Appl. Math. Volume 1, Number 3 (2001), 91-106.

#### 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.

First Page:
Primary Subjects: 35J25, 35J60
Full-text: Open access

Permanent link to this document: http://projecteuclid.org/euclid.jam/1047575732
Digital Object Identifier: doi:10.1155/S1110757X01000274
Mathematical Reviews number (MathSciNet): MR1863972

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