Nonlinear eigenvalue problems for quasilinear equations in unbounded domains

Authors
Drabek, P Simader, CG
Citation
P. Drabek et Cg. Simader, Nonlinear eigenvalue problems for quasilinear equations in unbounded domains, MATH NACHR, 203, 1999, pp. 5-30
Citations number
16
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
203
Year of publication
1999
Pages
5 - 30
Database
ISI
SICI code
0025-584X(1999)203:<5:NEPFQE>2.0.ZU;2-O
Abstract
We prove the existence of a solution of the nonlinear equation - div (a(x)\del u\(p-2)del u) = lambda f(x,u) in R-N and in exterior domains, respectively. We concentrate to the case wh en p greater than or equal to N and the nonlinearity f(x,.) is "superlinear " and "subcritical".