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\geq 2 , where d(x) denotes the distance from x to \partial\Omega , p>1 and \alpha>0 . We precise the expansion which depends on the mean curvature of the boundary.

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