Geodesic
Unimprovable estimates in H\"older spaces for generalized solutions of the Dirichlet problem for a~class of fourth order elliptic equations
Sbornik. Mathematics, Tome 56 (1987) no. 2, pp. 429-446

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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. 
@article{SM_1987_56_2_a9,
     author = {D. M. Lekveishvili},
     title = {Unimprovable estimates in {H\"older} spaces for generalized solutions of the {Dirichlet} problem for a~class of fourth order elliptic equations},
     journal = {Sbornik. Mathematics},
     pages = {429--446},
     publisher = {mathdoc},
     volume = {56},
     number = {2},
     year = {1987},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1987_56_2_a9/}
}
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D. M. Lekveishvili. Unimprovable estimates in H\"older spaces for generalized solutions of the Dirichlet problem for a~class of fourth order elliptic equations. Sbornik. Mathematics, Tome 56 (1987) no. 2, pp. 429-446. http://geodesic.mathdoc.fr/item/SM_1987_56_2_a9/