Symmetry of positive solutions of a quasilinear elliptic equation via isoperimetric inequalities

Kesavan, S. ; Filomena, Pacella (1994) Symmetry of positive solutions of a quasilinear elliptic equation via isoperimetric inequalities Applicable Analysis, 54 (1-2). pp. 27-37. ISSN 0003-6811

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Related URL: http://dx.doi.org/10.1080/00036819408840266

Abstract

In this paper, it is proved that positive solutions of non linear equation involving the N-Laplacian in a ball in RN with Dirichlet boundary condition are radial and radially decreasing provided that the nonlinearity is a continuous function ƒ(t) (satisfying suitable growth conditions) which is strictly positive for t>0. The method generalizes that of Lions for the Laplacian in two dimensions. The method of the present paper can also be extended to an analogous mixed boundary value problem in a convex cone.

Item Type:Article
Source:Copyright of this article belongs to Taylor and Francis Ltd.
Keywords:p-Laplacian; Symmetry; Isoperimetric Inequalities
ID Code:16344
Deposited On:15 Nov 2010 13:49
Last Modified:03 Jun 2011 11:51

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