Harnack inequality for the solutions of the p-Laplacian with a partially Muckenhoupt weight
- Authors: Huseynov S.T.1
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Affiliations:
- Baku State University
- Issue: Vol 53, No 5 (2017)
- Pages: 646-657
- Section: Partial Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/154391
- DOI: https://doi.org/10.1134/S0012266117050081
- ID: 154391
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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.
About the authors
S. T. Huseynov
Baku State University
Author for correspondence.
Email: sarvanhuseynov@rambler.ru
Azerbaijan, Baku, Az-1073/1
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