A-Priori Regularity for Weak Solutions of Some Nonlinear Elliptic-Equations

F. Pacard
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F. Pacard: CERGRENE - CERGRENE - ENGREF - Ecole Nationale du Génie Rural, des Eaux et des Forêts - ENPC - École nationale des ponts et chaussées

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Abstract: Let f(u) be some positive regular function bounded from above by u n/n-2, in R+. We derive some necessary and sufficient conditions, in order for all positive solutions to -DELTAu = f(u) is-an-element-of L(loc)1 (R(n)) to be regular.

Date: 1994
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Published in Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1994, 11 (6), pp.693-703

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00779880

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