JournalspmVol. 64 , No. 2pp. 143–153

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

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Abstract

In this paper we study the asymptotic boundary behavior of large solutions of the equation Δu=dαup\Delta u=d^{\alpha}u^p in a regular bounded domain Ω\Omega in RN\R^N, N2N\geq 2, where d(x)d(x) denotes the distance from xx to Ω\partial\Omega, p>1p>1 and α>0\alpha>0. We precise the expansion which depends on the mean curvature of the boundary.

Cite this article

Michèle Grillot, Philippe Grillot, The influence of domain geometry in the boundary behavior of large solutions of degenerate elliptic problems. Port. Math. 64 (2007), no. 2 pp. 143–153

DOI 10.4171/PM/1780