Monotonicity up to radially symmetric cores of positive solutions to nonlinear elliptic equations: local moving planes and unique continuation in a non-Lipschitz case

被引：10

作者：

Dolbeault, J

Felmer, P

机构：

[1] Univ Paris 09, CNRS, UMR 7534, F-75775 Paris 16, France

[2] Univ Chile, CNRS, UMR, Dept Ingn Matemat & Ctr Modelamiento Matemat, Santiago, Chile

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 58卷 / 3-4期

关键词：

elliptic equations; scalar field equations; monotonicity; symmetry; positivity; non-Lipschitz nonlinearities; comparison techniques; maximum principle; Hopf's lemma; unique continuation; dead cores; cores; local symmetry;

D O I：

10.1016/j.na.2004.04.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove local monotonicity and symmetry properties for nonnegative solutions of scalar field equations with nonlinearities which are not Lipschitz. Our main tools are a local moving plane method and a unique continuation argument. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：299 / 317

页数：19

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