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Bulletin of the London Mathematical Society
Article . 1984 . Peer-reviewed
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Uniqueness of Positive Solutions of Elliptic Problems

Uniqueness of positive solutions of elliptic problems
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1984 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 16, pages 39-42 (issn: 0024-6093, Copyright policy )
Authors: Allegretto, W.;

doi: 10.1112/blms/16.1.39

Uniqueness of Positive Solutions of Elliptic Problems

Abstract

Soit Ω un domaine borne d'un espace euclidien E n . On considere le probleme aux valeurs limites formel: Lu=-Σ i,j=1 n D i (A ij D j u)+p(x,u)u=0 dans Ω; u=0 sur ∂Ω. On etablit des conditions pour l'unicite des solutions positives generalisees

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Keywords

positive solutions, Dirichlet conditions, Boundary value problems for second-order elliptic equations, Nonlinear boundary value problems for linear elliptic equations, General existence and uniqueness theorems (PDE), uniqueness

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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