Monge–Ampère equation on exterior domains

Author:

Bao Jiguang,Li Haigang,Zhang Lei

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference38 articles.

1. Aleksandrov, A.D.: Dirichlet’s problem for the euqation $$Det \Vert z_{ij}\Vert =\phi $$ D e t ‖ z i j ‖ = ϕ I, Vestnik Leningrad. Univ. Ser. Mat. Meh. Astr. 13, 5–24 (1958)

2. Bakelman, I.J.: Generalized solutions of Monge–Ampère equations (Russian). Dokl. Akad. Nauk SSSR (N. S.) 114, 1143–1145 (1957)

3. Bao, J., Li, H.: On the exterior Dirichlet problem for the Monge–Ampère equation in dimension two. Nonlinear Anal. 75(18), 6448–6455 (2012)

4. Nirenberg, L.: The Weyl and Minkowski problems in differential geometry in the large. Comm. Pure Appl. Math. 6, 337–394 (1953)

5. Caffarelli, L.A.: A localization property of viscosity solutions to the Monge–Ampère equation and their strict convexity. Ann. Math. 13, 129–134 (1990)

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