Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: the supercritical case

Frank Pacard

doi:10.1016/S0294-1449(16)30177-9

Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: the supercritical case

Frank Pacard

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

In this paper we prove a partial regularity result for stationary weak solutions of –Δu = u^α, when α is greater than the critical Sobolev exponent.

langue originale	Anglais
Pages (de - à)	537-551
Nombre de pages	15
journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	11
Numéro de publication	5
Les DOIs	https://doi.org/10.1016/S0294-1449(16)30177-9
état	Publié - 1 sept. 1994

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10.1016/S0294-1449(16)30177-9

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title = "Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: the supercritical case",

abstract = "In this paper we prove a partial regularity result for stationary weak solutions of –Δu = uα, when α is greater than the critical Sobolev exponent.",

keywords = "Partial regularity, nonlinear elliptic equation",

author = "Frank Pacard",

note = "Publisher Copyright: {\textcopyright} 2016 L'Association Publications de l'Institut Henri Poincar{\'e}",

year = "1994",

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AB - In this paper we prove a partial regularity result for stationary weak solutions of –Δu = uα, when α is greater than the critical Sobolev exponent.

KW - Partial regularity

KW - nonlinear elliptic equation

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DO - 10.1016/S0294-1449(16)30177-9

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JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 5

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Convergence and partial regularity for weak solutions of some nonlinear elliptic equation: the supercritical case

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