Yuriy A. Alkhutov, Sarvan T. Huseynov
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.
Submitted February 5, 2017. Published March 21, 2017.
Math Subject Classifications: 35j92, 35j65, 35j70, 35j62.
Key Words: p-Laplasian; Muckenhoupt weight; Harnack's inequality
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Yuriy A. Alkhutov Stoletov Vladimir State University Vladimir, Russia email: yuriy-alkhutov@yandex.ru | |
Sarvan T. Huseynov Baku State University Baku, Azerbaijan email: sarvanhuseynov@rambler.ru |
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