Journal of Applied Mathematics
Volume 1 (2001), Issue 3, Pages 91-106
doi:10.1155/S1110757X01000274
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.