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:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/79/abstr.html