A multiplicity result for a quasilinear gradient elliptic system
Ahammou, Abdelaziz
J. Appl. Math., Tome 1 (2001) no. 2, p. 91-106 / Harvested from Project Euclid
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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.
Publié le : 2001-05-14
Classification:  35J25,  35J60 
@article{1047575732,
     author = {Ahammou, Abdelaziz},
     title = {A multiplicity result for a quasilinear gradient elliptic system},
     journal = {J. Appl. Math.},
     volume = {1},
     number = {2},
     year = {2001},
     pages = { 91-106},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1047575732}
}

Ahammou, Abdelaziz. A multiplicity result for a quasilinear gradient elliptic system. J. Appl. Math., Tome 1 (2001) no. 2, pp.  91-106. http://gdmltest.u-ga.fr/item/1047575732/