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

被引：79
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.
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页码：291 / 308
页数：18
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