The infuence of domain geometry in the boundary behavior of large solutions of degenerate elliptic problems

Abstract : In this paper we study the asymptotic boundary behavior of large solutions of the equation Delta u = d^{alpha} u^p in a regular bounded domain Omega in R^N, N >= 2, where d(x) denotes the distance from x to d Omega, p > 1 and alpha > 0. We precise the expansion which depends on the mean curvature of the boundary.
Type de document :
Article dans une revue
Port. Math. (N.S.), 2007, 64 (2), pp.143-153
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Soumis le : mardi 7 novembre 2006 - 16:14:10
Dernière modification le : jeudi 3 mai 2018 - 15:32:06
Document(s) archivé(s) le : mardi 6 avril 2010 - 21:46:45

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  • HAL Id : hal-00112159, version 1

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Michèle Grillot, Philippe Grillot. The infuence of domain geometry in the boundary behavior of large solutions of degenerate elliptic problems. Port. Math. (N.S.), 2007, 64 (2), pp.143-153. 〈hal-00112159〉

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