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

### Michèle Grillot

Université d'Orléans, France### Philippe Grillot

Université d'Orléans, France

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## 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.