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

Advances in Nonlinear Analysis

article

Luminita Barbu¹  Cristian Enache² 

[1] Department of Mathematics, Ovidius University;“Simion Stoilow” Institute of Mathematics of the Romanian Academy

关键词: Maximum principles;    anisotropic equations;    Liouville theorems;    symmetry;    Wulff shapes;   

DOI  :  10.1515/anona-2015-0127

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 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.

【 授权许可】

CC BY