Hypersurfaces of prescribed curvature measure

Author:

Guan Pengfei,Li Junfang,Li YanYan

Publisher

Duke University Press

Subject

General Mathematics

Reference20 articles.

1. [1] A. D. Alexandrov, Zur theorie der gemishchten volumina von knovexen korpern, 2, Math. USSR-Sb. 2 (1937), 1205–1238.

2. [2] A. D. Alexandrov, Existence and uniqueness of a convex surface with a given integral curvature, C. R. (Doklady) Acad. Sci. URSS (N.S.) 35 (1942), 131–134.

3. [3] C. Berg, Corps convexes et potentiels sphériques, Mat.-Fys. Medd. Danske Vid. Selsk. 37 (1969), no. 6, 64 pp.

4. [4] L. Caffarelli, L. Nirenberg, and J. Spruck, The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian, Acta Math. 155 (1985), 261–301.

5. [5] L. Caffarelli, L. Nirenberg, and J. Spruck, “Nonlinear second order elliptic equations IV: Starshaped compact Weingarten hypersurfaces” in Current Topics in Partial Differential Equations, Kinokuniya, Tokyo, 1986, 1–26.

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