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This article is cited in 11 scientific papers (total in 11 papers)
On Harnack’s inequality for $p(x)$-Laplacian
M. D. Surnachev
Abstract:
In this note we prove a Harnack inequality for nonnegative solutions to elliptic $p(x)$-Laplacian and find conditions on the modulus of continuity of the exponent $p$ at a given point which guarantee the continuity of solutions at this point.
Keywords:
$p(x)$-Laplacian, variable exponent, Harnack inequality, continuity of solutions.
Citation:
M. D. Surnachev, “On Harnack’s inequality for $p(x)$-Laplacian”, Keldysh Institute preprints, 2018, 069, 32 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2431 https://www.mathnet.ru/eng/ipmp/y2018/p69
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Abstract page: | 248 | Full-text PDF : | 103 | References: | 22 |
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