Enclosed convex hypersurfaces with maximal affine area

Author:

Sheng Weimin,Trudinger Neil S.,Wang Xu-Jia

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference20 articles.

1. Barozzi, E., Massari, U.: Regularity of minimal boundaries with obstacles. Rend. Sem. Mat. Univ. Padova. 66, 129–135 (1982)

2. Caffarelli, L.A.: A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity. Ann. of Math. 131, 129–134 (1990)

3. Caffarelli, L.A., Gutiérrez, C.E.: Properties of the solutions of the linearized Monge-Ampère equations. Amer. J. Math. 119, 423–465 (1997)

4. Calabi, E.: Hypersurfaces with maximal affinely invariant area. Amer. J. Math. 104, 91–126 (1982)

5. Chern, S.S.: Affine minimal hypersurfaces. In: minimal submanifolds and geodesics. Proc. Japan-United States Sem. Tokyo, 1977 pp. 17–30

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1. Extremal general affine surface areas;Journal of Mathematical Analysis and Applications;2022-01

2. Affine surface area and convex bodies of elliptic type;Periodica Mathematica Hungarica;2014-09-24

3. An obstacle problem for a class of Monge–Ampère type functionals;Journal of Differential Equations;2013-02

4. General affine surface areas;Advances in Mathematics;2010-08

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