Anisotropic Picone identities and anisotropic Hardy inequalities

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.

Detalles Bibliográficos
Autores principales: Feng, Tingfu, Cui, Xuewei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5236086/
https://www.ncbi.nlm.nih.gov/pubmed/28133426
http://dx.doi.org/10.1186/s13660-017-1292-4
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author Feng, Tingfu
Cui, Xuewei
author_facet Feng, Tingfu
Cui, Xuewei
author_sort Feng, Tingfu
collection PubMed
description 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.
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spelling pubmed-52360862017-01-25 Anisotropic Picone identities and anisotropic Hardy inequalities Feng, Tingfu Cui, Xuewei J Inequal Appl Research 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. Springer International Publishing 2017-01-13 2017 /pmc/articles/PMC5236086/ /pubmed/28133426 http://dx.doi.org/10.1186/s13660-017-1292-4 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Feng, Tingfu
Cui, Xuewei
Anisotropic Picone identities and anisotropic Hardy inequalities
title Anisotropic Picone identities and anisotropic Hardy inequalities
title_full Anisotropic Picone identities and anisotropic Hardy inequalities
title_fullStr Anisotropic Picone identities and anisotropic Hardy inequalities
title_full_unstemmed Anisotropic Picone identities and anisotropic Hardy inequalities
title_short Anisotropic Picone identities and anisotropic Hardy inequalities
title_sort anisotropic picone identities and anisotropic hardy inequalities
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5236086/
https://www.ncbi.nlm.nih.gov/pubmed/28133426
http://dx.doi.org/10.1186/s13660-017-1292-4
work_keys_str_mv AT fengtingfu anisotropicpiconeidentitiesandanisotropichardyinequalities
AT cuixuewei anisotropicpiconeidentitiesandanisotropichardyinequalities

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