Existence result for quasilinear elliptic problem on unbounded domains

In this paper, we obtain the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems on arbitrary domains with lack of compactness. The method used here is essentially based on preliminary results on the convergence, almost everywhere, of the gradients of Palais–Smale seque...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis 2009-09, Vol.71 (5), p.1552-1561
Main Authors: Benmouloud, S., Echarghaoui, R., Sbaï, S.M.
Format: Article
Language:English
Subjects:
Elliptic system
Exact sciences and technology
Mathematical analysis
Mathematics
Noncompactness condition
Palais–Smale condition
Partial differential equations
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we obtain the existence of a nontrivial solution for inhomogeneous quasilinear elliptic systems on arbitrary domains with lack of compactness. The method used here is essentially based on preliminary results on the convergence, almost everywhere, of the gradients of Palais–Smale sequences.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.12.057