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Anisotropic Picone identities and anisotropic Hardy inequalities

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 13 Jan 2017Publisher:Springer Science and Business Media LLCJournal:Journal of Inequalities and Applications, volume 2,017 (eissn: 1029-242X,

Authors: Xuewei Cui; Tingfu Feng;

doi: 10.1186/s13660-017-1292-4

pmid: 28133426

pmc: PMC5236086

Anisotropic Picone identities and anisotropic Hardy inequalities

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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.

Related Organizations

Northwestern Polytechnical University
China (People's Republic of)

Keywords

Sturmian comparison principle, Applied Mathematics, Research, anisotropic Picone identity, anisotropic elliptic equation, QA1-939, Discrete Mathematics and Combinatorics, anisotropic Hardy type inequality, Mathematics, Analysis

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