AustralieFrV1, PascalFrancis, Checkpoint, bibRecord, 002966

ON THE CLASSIFICATION OF SOLUTIONS OF -Δu = e" ON RN : STABILITY OUTSIDE A COMPACT SET AND APPLICATIONS

Identifieur interne : 002966 ( PascalFrancis/Checkpoint ); précédent : 002965; suivant : 002967

ON THE CLASSIFICATION OF SOLUTIONS OF -Δu = e" ON RN : STABILITY OUTSIDE A COMPACT SET AND APPLICATIONS

Auteurs : E. N. Dancer [Australie] ; Alberto Farina [France] ; Matthew J. Gursky

Source :

Proceedings of the American Mathematical Society [ 0002-9939 ] ; 2009.

RBID : Pascal:09-0164898

Descripteurs français

Pascal (Inist)
- Classification, Stabilité numérique, Ensemble compact, Application, Espace euclidien, Analyse, Non existence, Existence solution, Mathématiques, 62H30, 53A04, Ensemble solution, Ensemble stable, Indice Morse, Domaine borné.
Wicri :
- topic : Classification, Mathématiques.

English descriptors

KwdEn :
- Analysis, Application, Classification, Compact set, Euclidean space, Existence of solution, Mathematics, Non existence, Numerical stability.

Abstract

In this short paper we prove that, for 3 < N < 9, the problem -Δu = e^u on the entire Euclidean space R^N does not admit any solution stable outside a compact set of R^N. This result is obtained without making any assumption about the boundedness of solutions. Furthermore, as a consequence of our analysis, we also prove the non-existence of finite Morse Index solutions for the considered problem. We then use our results to give some applications to bounded domain problems.

Affiliations:

Australie, France

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Le document en format XML

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 : STABILITY OUTSIDE A COMPACT SET AND APPLICATIONS</title>
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 : STABILITY OUTSIDE A COMPACT SET AND APPLICATIONS</title>
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<front><div type="abstract" xml:lang="en">In this short paper we prove that, for 3 < N < 9, the problem -Δu = e<sup>u</sup>
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 does not admit any solution stable outside a compact set of R<sup>N</sup>
. This result is obtained without making any assumption about the boundedness of solutions. Furthermore, as a consequence of our analysis, we also prove the non-existence of finite Morse Index solutions for the considered problem. We then use our results to give some applications to bounded domain problems.</div>
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ON THE CLASSIFICATION OF SOLUTIONS OF -Δu = e" ON RN : STABILITY OUTSIDE A COMPACT SET AND APPLICATIONS

ON THE CLASSIFICATION OF SOLUTIONS OF -Δu = e" ON RN : STABILITY OUTSIDE A COMPACT SET AND APPLICATIONS

Source :

Descripteurs français

English descriptors

Abstract

Links toward previous steps (curation, corpus...)

Links to Exploration step

Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri