Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain

Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain

In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and prove an appropriate Harnack's ine...

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Bibliographic Details
Main Authors: Yuriy A. Alkhutov, Sarvan T. Huseynov
Format: Article
Language:English
Published: Texas State University 2017-03-01
Series:Electronic Journal of Differential Equations
Subjects:
p-Laplasian
Muckenhoupt weight
Harnack's inequality
Online Access:http://ejde.math.txstate.edu/Volumes/2017/79/abstr.html
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spelling doaj-1c38bffa2047492b9c4405fe2b9689c52020-11-25T00:40:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912017-03-01201779,113Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domainYuriy A. Alkhutov0Sarvan T. Huseynov1 Stoletov Vladimir State Univ., Vladimir, Russia Baku State Univ., Baku, Azerbaijan In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and prove an appropriate Harnack's inequality for the considered equation.http://ejde.math.txstate.edu/Volumes/2017/79/abstr.htmlp-LaplasianMuckenhoupt weightHarnack's inequality
collection DOAJ
language English
format Article
sources DOAJ
author Yuriy A. Alkhutov
Sarvan T. Huseynov
spellingShingle Yuriy A. Alkhutov
Sarvan T. Huseynov
Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
Electronic Journal of Differential Equations
p-Laplasian
Muckenhoupt weight
Harnack's inequality
author_facet Yuriy A. Alkhutov
Sarvan T. Huseynov
author_sort Yuriy A. Alkhutov
title Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
title_short Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
title_full Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
title_fullStr Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
title_full_unstemmed Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
title_sort harnack's inequality for p-laplacian equations with muckenhoupt weight degenerating in part of the domain
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2017-03-01
description In this article we consider quasi-linear second-order elliptic equations of divergence structure with Makenhaupt weight that degenerates over a small part of the domain. We show that the classical Harnack's inequality does not hold in this case, and prove an appropriate Harnack's inequality for the considered equation.
topic p-Laplasian
Muckenhoupt weight
Harnack's inequality
url http://ejde.math.txstate.edu/Volumes/2017/79/abstr.html
work_keys_str_mv AT yuriyaalkhutov harnacksinequalityforplaplacianequationswithmuckenhouptweightdegeneratinginpartofthedomain
AT sarvanthuseynov harnacksinequalityforplaplacianequationswithmuckenhouptweightdegeneratinginpartofthedomain
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