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A multiplicity result for a class of elliptic boundary value problems


Amann, Herbert; Hess, Peter (1979). A multiplicity result for a class of elliptic boundary value problems. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 84(1-2):145-151.

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].

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].

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:National licences > 142-005
Dewey Decimal Classification:Unspecified
Scopus Subject Areas:Physical Sciences > General Mathematics
Language:English
Date:1 January 1979
Deposited On:23 Oct 2018 16:57
Last Modified:15 Apr 2021 14:48
Publisher:Cambridge University Press
ISSN:0308-2105
OA Status:Green
Publisher DOI:https://doi.org/10.1017/s0308210500017017

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