SEMILINEAR ELLIPTIC PROBLEMS WITH SINGULAR POTENTIALS IN R(N)

Authors
BADIALE M TCHOU NA
Citation
M. Badiale et Na. Tchou, SEMILINEAR ELLIPTIC PROBLEMS WITH SINGULAR POTENTIALS IN R(N), Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 123, 1993, pp. 593-619
Citations number
37
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
123
Year of publication
1993
Part
4
Pages
593 - 619
Database
ISI
SICI code
0308-2105(1993)123:<593:SEPWSP>2.0.ZU;2-#
Abstract
We study a semilinear elliptic problem on R(N) where a potential is no t a bounded function but can also be an infinite measure. We analyse t he lack of compactness of the problem, obtaining a structure theorem f or Palais-Smale sequences. This result allows us to obtain different k inds of existence theorems by a variational approach.