Email this article On a Harnack inequality for the elliptic (p, q)-Laplacian
- Authors: Alkhutov Y.A.1, Surnachev M.D.2
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Affiliations:
- Vladimir State University
- Keldysh Institute of Applied Mathematics
- Issue: Vol 94, No 2 (2016)
- Pages: 569-573
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/224372
- DOI: https://doi.org/10.1134/S1064562416050252
- ID: 224372
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Abstract
A special Harnack inequality is proved for solutions of nonlinear elliptic equations of the p(x)-Laplacian type with a variable exponent p(x) that takes different values on two sides of a hyperplane dividing the domain. Examples are given showing that the classical Harnack inequality does not hold in this case.
About the authors
Yu. A. Alkhutov
Vladimir State University
Author for correspondence.
Email: yurij-alkhutov@yandex.ru
Russian Federation, Vladimir, 600000
M. D. Surnachev
Keldysh Institute of Applied Mathematics
Email: yurij-alkhutov@yandex.ru
Russian Federation, Moscow, 125047
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