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Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations
D. M. Lekveishvili
Abstract:
Generalized solutions of the Dirichlet problem for a fourth order elliptic equation in two independent variables are investigated. Unimprovable estimates are obtained for the modulus of the generalized solution and its first derivatives in the neighborhood of a boundary point; it is also proved that the generalized solutions belong to a Hölder space with an unimprovable index depending on the geometry of the domain.
Bibliography: 16 titles.
Received: 24.09.1984
Citation:
D. M. Lekveishvili, “Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations”, Math. USSR-Sb., 56:2 (1987), 429–446
Linking options:
https://www.mathnet.ru/eng/sm2169https://doi.org/10.1070/SM1987v056n02ABEH003045 https://www.mathnet.ru/eng/sm/v170/i3/p429
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Abstract page: | 424 | Russian version PDF: | 121 | English version PDF: | 27 | References: | 89 |
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