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


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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.

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S. T. Huseynov

Baku State University

Author for correspondence.
Email: sarvanhuseynov@rambler.ru
Azerbaijan, Baku, Az-1073/1

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