Electronic Journal of Differential Equations 2001-Luminy conference on Quasilinear Elliptic and Parabolic Equations and Systems
Electron. J. Diff. Eqns., Conf. 08, 2002, pp. 1-6.

A note on the moving hyperplane method

Celine Azizieh & Luc Lemaire

Abstract:
We make precise the domain regularity needed for having the monotonicity and symmetry results recently proved by Damascelli and Pacella on p-Laplace equations. For this purpose, we study the continuity and semicontinuity of some parameters linked with the moving hyperplane method.

Published October 21, 2002.
Subject lassfications: 35J60, 35B99.
Key words: p-Laplacian, symmetry of solutions, nonlinear elliptic equations.

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Celine Azizieh
Departement de Mathematique
Universite Libre de Bruxelles
CP 214 - Campus Plaine
1050 Bruxelles - Belgique
e-mail: kazizieh@ulb.ac.be
Luc Lemaire
Departement de Mathematique
Universite Libre de Bruxelles
CP 218 - Campus Plaine
1050 Bruxelles - Belgique
e-mail: llemaire@ulb.ac.be

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