Symmetry of ground states of p-Laplace equations via the moving plane method

被引：77

作者：

Damascelli, L

Pacella, F

Ramaswamy, M

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Rome La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[3] TIFR Ctr, Bangalore 560012, Karnataka, India

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1999年 / 148卷 / 04期

关键词：

D O I：

10.1007/s002050050163

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we use the moving plane method to get the radial symmetry about a point x(0) is an element of R-N Of the positive ground state solutions of the equation -div (/Du/(p-2)Du) = f(u) in R-N, in the case 1 < p < 2. Sire assume f to be locally Lipschitz continuous in (0, +infinity) and nonincreasing near zero but we do not require any hypothesis on the critical set of the solution. To apply the moving plane method we first prove a weak comparison theorem for solutions of differential inequalities in unbounded domains.

引用

页码：291 / 308

页数：18

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