Gradient estimates for potentials of invertible gradient–mappings on the sphere

Author:

Delanoë Philippe,Loeper Grégoire

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference21 articles.

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2. Aubin, T.: Nonlinear analysis on manifolds. Monge–Ampère equations, Grundlehren der math. Wissensch. 252 Springer, New York (1982)

3. Bangert, V.: Analytische Eigenschaften konvexer Funktionen auf Riemannschen Manigfaltigkeiten. J. Reine Angew. Math. 307, 309–324 (1979)

4. Brenier, Y.: Décomposition polaire et réarrangement monotone des champs de vecteurs. C. R. Acad. Sci. Paris série I 305, 805–808 (1987)

5. Brenier, Y.: Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44, 375–417 (1991)

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