SOME SUFFICIENT CONDITIONS FOR THE EXISTENCE OF POSITIVE SOLUTIONS TOTHE EQUATION -DELTA-U-ASTERISK-1) IN BOUNDED DOMAINS(A(X)U=U(2)

Authors
PASSASEO D
Citation
D. Passaseo, SOME SUFFICIENT CONDITIONS FOR THE EXISTENCE OF POSITIVE SOLUTIONS TOTHE EQUATION -DELTA-U-ASTERISK-1) IN BOUNDED DOMAINS(A(X)U=U(2), Annales de l Institut Henri Poincare. Analyse non lineaire, 13(2), 1996, pp. 185-227
Citations number
23
Categorie Soggetti
Mathematics,Mathematics
Journal title
Annales de l Institut Henri Poincare. Analyse non lineaire → ACNP
ISSN journal
02941449
Volume
13
Issue
2
Year of publication
1996
Pages
185 - 227
Database
ISI
SICI code
0294-1449(1996)13:2<185:SSCFTE>2.0.ZU;2-A
Abstract
This paper is concerned with the problem [GRAPHICS] where Omega is a b ounded domain in R(n) with n greater than or equal to 3 and a(x) is a nonnegative function in Omega. We give some conditions on the function a(x), sufficient to guarantee the existence and multiplicity of solut ions for the considered problem without any assumption on the shape of Omega.