Geometric properties of the sections of solutions to the Monge-Ampère equation
By Cristian E. Gutiérrez, Qingbo Huang. 2000
75 citations recorded by the source corpus.
Subfields: Applied Mathematics, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9f6717502038c744c2e7f234e5825be6fcec2b03
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In Applied Mathematics
- Alessio Figalli
- Robert J. McCann
- Young-Heon Kim
- Guido De Philippis
- Luis Caffarelli
- Cédric Villani
- Luigi Ambrosio
- Filippo Santambrogio
In Geometry and Topology
- Alessio Figalli
- Robert J. McCann
- Young-Heon Kim
- Luis Caffarelli
- Cédric Villani
- Guido De Philippis
- Luigi Ambrosio
- Filippo Santambrogio
In Statistical and Nonlinear Physics
Citations in the corpus
- Free boundaries in optimal transport and Monge-Ampere obstacle problems (2010, background): “An alternate approach to Caffarelli’s result may be found in Gutiérrez and Huang [48].”
- Hölder Continuity and Injectivity of Optimal Maps (2011, background): “Once such results are established, the same estimates permit us to exploit Forzani and Maldonado’s [24] approach to extend the engulfing property of Gutierrez and Huang [29] to (A3)w c-convex functions (see Theorem 9.3), improving mere continuity of optimal maps to Hölder continuity (Theorem 9.5 and”