Symmetry of solutions of some semilinear elliptic equations with singular nonlinearities

被引：33

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

页码：4437 / 4447

页数：11

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