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This article is cited in 19 scientific papers (total in 19 papers)
Research Papers
Behavior of solutions of the Dirichlet Problem for the $ p(x)$-Laplacian at a boundary point
Yu. A. Alkhutova, M. D. Surnachevb a Vladimir State University
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences
Abstract:
The Dirichlet problem for the $ p(x)$-Laplacian with a continuous boundary function is treated. A sufficient condition is indicated for the regularity of a boundary point, and the modulus of continuity of solutions at this point is estimated.
Keywords:
Wiener criterion, boundary regularity, Dirichlet problem, variable exponent, $p(x)$-Laplacian.
Received: 31.10.2018
Citation:
Yu. A. Alkhutov, M. D. Surnachev, “Behavior of solutions of the Dirichlet Problem for the $ p(x)$-Laplacian at a boundary point”, Algebra i Analiz, 31:2 (2019), 88–117; St. Petersburg Math. J., 31:2 (2019), 251–271
Linking options:
https://www.mathnet.ru/eng/aa1639 https://www.mathnet.ru/eng/aa/v31/i2/p88
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Abstract page: | 338 | Full-text PDF : | 43 | References: | 47 | First page: | 36 |
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