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Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems
Journal article   Peer reviewed

Exact asymptotic behavior near the boundary to the solution for singular nonlinear Dirichlet problems

Sonia Ben Othman, Habib Maagli, Syrine Masmoudi and Malek Zribi
Nonlinear analysis, Vol.71(9), pp.4137-4150
01/11/2009
DOI: https://doi.org/10.1016/j.na.2009.02.073

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We take up the existence and the exact asymptotic behavior near the boundary partial derivative Omega of the unique classical solution to a singular Dirichlet problem -Delta u = a(x)g(u), x is an element of Omega, u > 0 in Omega, u|(partial derivative Omega) = 0, where Omega is a C-1,C-1-bounded doamin in R-n, n >= 2 and function a is singular near the boundary and belongs to the Kato class K (Omega). (C) 2009 Published by Elsevier Ltd

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