Strictly Convex Solutions to the Singular Boundary Blow-Up Monge-Ampère Problems: Existence and Asymptotic Behavior

Author:

Feng Meiqiang,Zhang XuemeiORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Reference34 articles.

1. Pogorelov, A.: The Minkowski multi-dimensional problem. Wiley, New York (1978)

2. Caffarelli, L., Nirenberg, L., Spruck, J.: The Dirichlet problem for nonlinear second-order elliptic equations I. Monge-Ampère equations. Comm. Pure Appl. Math. 37, 369–402 (1984)

3. Figalli, A.: The Monge-Ampère equation and its applications. Zurich Lectures in Advanced Mathematics, European Mathematical Society, (2017)

4. Cheng, S., Yau, S.: On the existence of a complete Kähler metric on noncompact complex manifolds and the regularity of Fefferman’s equation. Comm. Pure Appl. Math. 33, 507–544 (1980)

5. Cheng, S., Yau, S.: The real Monge-Ampère equation and affine flat structures. In: Chern, S.S., Wu, W. (eds.) Proceedings of 1980 Beijing Symposium on Differential Geometry and Differential Equations, vol. 1, pp. 339-370, Beijing. Science Press, New York (1982)

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