Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations
D. M. Lekveishvili
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.
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Mathematics of the USSR-Sbornik, 1987, 56:2, 429–446
MSC: Primary 35J40, 35D10, 35B45; Secondary 73K10
D. M. Lekveishvili, “Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations”, Mat. Sb. (N.S.), 128(170):3(11) (1985), 429–445; Math. USSR-Sb., 56:2 (1987), 429–446
Citation in format AMSBIB
\paper Unimprovable estimates in H\"older spaces for generalized solutions of the Dirichlet problem for a~class of fourth order elliptic equations
\jour Mat. Sb. (N.S.)
\jour Math. USSR-Sb.
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