Maximum principles, Liouville-type theorems and symmetry results for a general class of quasilinear anisotropic equations

被引：12

作者：

Barbu, Luminita ^{[1
]}

Enache, Cristian ^{[2
]}

机构：

[1] Ovidius Univ, Dept Math, Constanta 900527, Romania

[2] Romanian Acad, Simion Stoilow Inst Math, Bucharest 010702, Romania

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2016年 / 5卷 / 04期

关键词：

Maximum principles; anisotropic equations; Liouville theorems; symmetry; Wulff shapes; DEGENERATE;

D O I：

10.1515/anona-2015-0127

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a general class of quasilinear anisotropic equations. We first derive some maximum principles for two appropriate P-functions, in the sense of Payne (see the book of Sperb [18]). These maximum principles are then employed to obtain a Liouville-type result and a Serrin-Weinberger-type symmetry result.

引用

页码：395 / 405

页数：11

共 21 条

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