@article{JMAG_2020_16_3_a4,
author = {N. V. Krylov},
title = {About {Pogorelov's} method and {Aleksandrov's} estimates},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {283--290},
year = {2020},
volume = {16},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2020_16_3_a4/}
}
N. V. Krylov. About Pogorelov's method and Aleksandrov's estimates. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020) no. 3, pp. 283-290. http://geodesic.mathdoc.fr/item/JMAG_2020_16_3_a4/
[1] A.D. Aleksandrov, “Dirichlet's problem for the equation $\mathrm{det}\|z_{ij}\|=\varphi(z_{1},\ldots,z_{n},z,x_{1},\ldots,x_{n})$, I”, Vestnik Leningrad. Univ., Ser. Mat., Meh., Astr., 13:1 (1958), 5–24 (Russian) | MR | Zbl
[2] I. Ja. Bakelman, Geometric Methods of Solution of Elliptic Equations, Nauka, M., 1965 (Russian) | MR
[3] Shiu Yuen Cheng, Shing Tung Yau, “On the regularity of the Monge–Ampère equation $\mathrm{det}( \partial^{2} u/\partial x_i \partial x_j )=F(x,u)$”, Comm. Pure Appl. Math., 30:1 (1977), 41–68 | DOI | MR | Zbl
[4] Sib. Math. J., 17:2 (1976), 226–236 | DOI | MR | Zbl | Zbl
[5] N.V. Krylov, “Weighted Aleksandrov estimates: PDE and stochastic versions”, Algebra i Analiz, 31:3 (2019), 154–169 | MR
[6] in Soviet Math. Dokl., 12 (1971), 1436–1440 | MR | MR | Zbl
[7] Soviet Math. Dokl., 12 (1971), 1227–1231 | MR | MR | Zbl
[8] Scripta Series in Mathematics, V.H. Winston Sons, Washington, D.C.; Halsted Press [John Wiley Sons], New York–Toronto–London, 1978 | MR