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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 204–211
(Mi tm290)
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This article is cited in 12 scientific papers (total in 12 papers)
Continuity at a Point for Solutions to Elliptic Equations with a Nonstandard Growth Condition
O. V. Krasheninnikova Vladimir State Pedagogical University
Abstract:
A question concerning the Hölder property of solutions to elliptic equations with a nonstandard growth condition is considered. The internal smoothness of solutions to an equation is proved at a fixed point under the condition that a variable exponent at this point has a logarithmic modulus of continuity. The proof is based on a modification of the Moser iteration technique.
Received in February 2001
Citation:
O. V. Krasheninnikova, “Continuity at a Point for Solutions to Elliptic Equations with a Nonstandard Growth Condition”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 204–211; Proc. Steklov Inst. Math., 236 (2002), 193–200
Linking options:
https://www.mathnet.ru/eng/tm290 https://www.mathnet.ru/eng/tm/v236/p204
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Abstract page: | 425 | Full-text PDF : | 113 | References: | 56 |
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