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Harnack inequality for the solutions of the p-Laplacian with a partially Muckenhoupt weight

Harnack inequality for the solutions of the p-Laplacian with a partially Muckenhoupt weight We consider a class of quasilinear elliptic second-order equations of divergence structure admitting uniform degeneration in the domain. We prove that the classical Harnack inequality fails and establish a Harnack inequality corresponding to the equation in question. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Harnack inequality for the solutions of the p-Laplacian with a partially Muckenhoupt weight

Differential Equations , Volume 53 (5) – Jun 14, 2017

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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266117050081
Publisher site
See Article on Publisher Site

Abstract

We consider a class of quasilinear elliptic second-order equations of divergence structure admitting uniform degeneration in the domain. We prove that the classical Harnack inequality fails and establish a Harnack inequality corresponding to the equation in question.

Journal

Differential EquationsSpringer Journals

Published: Jun 14, 2017

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