MULTIPLICITY RESULTS FOR SOME NONLINEAR ELLIPTIC-EQUATIONS

Citation
A. Ambrosetti et al., MULTIPLICITY RESULTS FOR SOME NONLINEAR ELLIPTIC-EQUATIONS, Journal of functional analysis, 137(1), 1996, pp. 219-242
Citations number
23
Categorie Soggetti
Mathematics, Pure",Mathematics
ISSN journal
00221236
Volume
137
Issue
1
Year of publication
1996
Pages
219 - 242
Database
ISI
SICI code
0022-1236(1996)137:1<219:MRFSNE>2.0.ZU;2-K
Abstract
This paper deals with the existence of multiple solutions for some cla sses of nonlinear elliptic Dirichlet boundary value problems. The inte rplay of convex and concave nonlinearities is studied both for second order equations and for problems involving the p-laplacian. The bifurc ation of positive solutions for some quasilinear eigenvalue problems i s also discussed. (C) 1996 Academic Press, Inc.