A multiplicity result for a class of elliptic boundary value problems-Reference-Cited by-同舟云学术

A multiplicity result for a class of elliptic boundary value problems

Published:1979 Issue:1-2 Volume:84 Page:145-151
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Amann Herbert,Hess Peter

Abstract

SynopsisWe consider a mildly nonlinear elliptic boundary value problem depending on a parameter. Given appropriate hypotheses concerning the asymptotic behaviour of the nonlinearity, we derive lower bounds on the number of solutions. The results complement an earlier theorem due to Kazdan and Warner [6].

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. On a superlinear elliptic boundary value problem

2. Multiple positive fixed points of asymptotically linear maps

3. On the ranges of certain weakly nonlinear elliptic partial differentialequations;Dancer;J. Math. Pure Appl.,1978

4. Remarks on some quasilinear elliptic equations

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