Regularity of generalized solutions of Monge-Amp�re equations

Author:

Urbas John I. E.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference33 articles.

1. Aleksandrov, A.D.: Almost everywhere existence of the second differential of a convex function and some properties of convex surfaces connected with it. U?en. Zap. Leningrad. Gos. Univ.37, Mat. 3, 3?35, (1939) [Russian]

2. Aleksandrov, A.D.: Smoothness of a convex surface of bounded Gaussian curvature. Dokl. Akad. Nauk. SSSR36, 195?199 (1942) [Russian]

3. Aleksandrov, A.D.: Die innere Geometrie der konvexen Flächen. Berlin: Akademie-Verlag, 1955

4. Aleksandrov, A.D.: Dirichlet's problem for the equation Det |z ij |=?(z 1, ...,z n ,z, x 1, ...,x n ). Vestn. Leningr. Univ.18, 5?29 (1963) [Russian]

5. Aleksandrov, A.D.: Uniqueness conditions and estimates for the solution of the Dirichlet problem. Vestn. Leningr. Univ.18, 5?29 (1963) [Russian]. English translation in Am. Math. Soc. Transl. (2)68, 89?119 (1968)

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