Unimprovable estimates in Hölder spaces for generalized solutions of the Dirichlet problem for a class of fourth order elliptic equations

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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