Harnack's inequality for p-Laplacian equations with Muckenhoupt weight degenerating in part of the domain
Date
2017-03-21
Authors
Alkhutov, Yuriy A.
Huseynov, Sarvan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
p-Laplasian, Muckenhoupt weight, Harnack's inequality
Citation
Alkhutov, 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.