Asymptotic Symmetry for a Class of Quasi-Linear Parabolic Problems

被引：0

作者：

Montoro, Luigi ^{[1
]}

Sciunzi, Berardino ^{[1
]}

Squassina, Marco ^{[2
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Cosenza, Italy

[2] Univ Verona, Dipartimento Informat, I-37134 Verona, Italy

来源：

ADVANCED NONLINEAR STUDIES | 2010年 / 10卷 / 04期

关键词：

Quasi-linear parabolic problems; quasi-linear elliptic problems; symmetric solution; asymptotic behaviour; DEGENERATE ELLIPTIC-EQUATIONS; M-LAPLACE EQUATIONS; POSITIVE SOLUTIONS; MAXIMUM PRINCIPLE; HEAT-EQUATIONS; WEAK SOLUTIONS; REGULARITY; THEOREMS; MONOTONICITY; INEQUALITIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the symmetry properties of the weak positive solutions to a class of quasi-linear elliptic problems having a variational structure. On this basis, the asymptotic behaviour of global solutions of the corresponding parabolic equations is also investigated. In particular, if the domain is a ball, the elements of the omega limit set are nonnegative radially symmetric solutions of the stationary problem.

引用

页码：789 / 818

页数：30

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