Curvature estimates for the level sets of solutions to the Monge-Ampère equation detD 2 u = 1

Author:

Chen Chuanqiang,Ma Xinan,Shi Shujun

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. Anedda, C. and Porru, G., Problems on the Monge-Ampère equation in the plane, Contemporary Math., 400, 2006, 899–916.

2. Chang, S. Y. A., Ma, X. N. and Yang, P., Principal curvature estimates for the convex level sets of semilinear elliptic equations, Discrete Contin. Dyn. Syst., 28(3), 2010, 1151–1164.

3. Chen, C. and Shi, S., Curvature estimates for the level sets of spatial quasiconcave solutions to a class of parabolic equations, Sci. China Math., 54(10), 2011, 2063–2080.

4. Guan, P. and Xu, L., Convexity estimates for level sets of quasiconcave solutions to fully nonlinear elliptic equations, J. Reine Angew. Math., 680, 2013, 41–67.

5. Progress in Nonlinear Differential Equation and Their Applications;C E Gutiérrez,2001

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