First and second derivative Hölder estimates for generated Jacobian equations
Author:
Funder
Australian Research Council
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s00526-022-02406-1.pdf
Reference27 articles.
1. Caffarelli, L.A.: Interior $$W^{2,p}$$ estimates for solutions of the Monge–Ampère equation. Ann. Math. (2) 131(1), 135–150 (1990). https://doi.org/10.2307/1971510
2. Caffarelli, L.A.: A localization property of viscosity solutions to the Monge–Ampère equation and their strict convexity. Ann. Math. (2) 131(1), 129–134 (1990). https://doi.org/10.2307/1971509
3. Figalli, A.: The Monge–Ampère Equation and Its Applications. Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich (2017). https://doi.org/10.4171/170
4. Figalli, A., Kim, Y.H., McCann, R.J.: Hölder continuity and injectivity of optimal maps. Arch. Ration. Mech. Anal. 209(3), 747–795 (2013). https://doi.org/10.1007/s00205-013-0629-5
5. Classics in Mathematics;D Gilbarg,2001
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