Anisotropic Picone identities and anisotropic Hardy inequalities

Abstract In this paper, we derive an anisotropic Picone identity for the anisotropic Laplacian, which contains some known Picone identities. As applications, a Sturmian comparison principle to the anisotropic elliptic equation and an anisotropic Hardy type inequality are shown.

Bibliographic Details
Main Authors: Tingfu Feng, Xuewei Cui
Format: Article
Language:English
Published: SpringerOpen 2017-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1292-4