On a class of two-dimensional singular elliptic problems

Authors
Caldiroli, P Musina, R
Citation
P. Caldiroli et R. Musina, On a class of two-dimensional singular elliptic problems, P RS EDIN A, 131, 2001, pp. 479-497
Citations number
17
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
131
Year of publication
2001
Part
3
Pages
479 - 497
Database
ISI
SICI code
0308-2105(2001)131:<479:OACOTS>2.0.ZU;2-F
Abstract
We consider Dirichlet problems of the form -/x/(alpha) Deltau = lambdau + g (u) in Omega, u = 0 on partial derivative Omega, where alpha, lambda is an element of R, g is an element of C(R) is a superlinear and subcritical func tion, and Omega is a domain in R-2. We study the existence of positive solu tions with respect to the values of the parameters alpha and X, and accordi ng that 0 is an element of Omega or 0 is an element of partial derivative O mega, and that Omega is an exterior domain or not.