Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities

被引：34
作者：
Canino, A. [1 ]
Grandinetti, M. [1 ]
Sciunzi, B. [1 ]
机构：
[1] UNICAL, Dipartimento Matemat, I-87036 Cosenza, Italy
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 255卷 / 12期
关键词：
Singular semilinear equations; Symmetry of solutions; Moving plane method; ASYMPTOTIC SYMMETRY; POSITIVE SOLUTIONS; CLASSIFICATION; EXISTENCE; BEHAVIOR;
D O I：
10.1016/j.jde.2013.08.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider positive solutions to the singular semilinear elliptic equation -Delta u = 1/u(gamma) + f (u), in bounded smooth domains, with zero Dirichlet boundary conditions. We provide some weak and strong maximum principles for the H-0(1)(Omega) part of the solution (the solution u generally does not belong to H-0(1)(Omega)), that allow to deduce symmetry and monotonicity properties of solutions, via the Moving Plane Method. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：4437 / 4447
页数：11
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