The infuence of domain geometry in the boundary behavior of large solutions of degenerate elliptic problemsReport as inadecuate




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1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

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 dx 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.

Keywords : elliptic equations boundary behavior blow-up





Author: Michèle Grillot - Philippe Grillot -

Source: https://hal.archives-ouvertes.fr/



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