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

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dc.contributor.authorAlkhutov, Yuriy A.
dc.contributor.authorHuseynov, Sarvan
dc.date.accessioned2022-04-06T20:08:56Z
dc.date.available2022-04-06T20:08:56Z
dc.date.issued2017-03-21
dc.description.abstractIn 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAlkhutov, Y. A., & Huseynov, S. T. (2017). Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain. <i>Electronic Journal of Differential Equations, 2017</i>(79), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15611
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectp-Laplasian
dc.subjectMuckenhoupt weight
dc.subjectHarnack's inequality
dc.titleHarnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
dc.typeArticle

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