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

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	537-551
Number of pages	15
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	11
Issue number	5
DOIs	https://doi.org/10.1016/S0294-1449(16)30177-9
Publication status	Published - 1 Sept 1994

Keywords

Partial regularity
nonlinear elliptic equation

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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.",

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author = "Frank Pacard",

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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.

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KW - nonlinear elliptic equation

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

IS - 5

ER -

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

Abstract

Keywords

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