Regularity for critical points of convex functionals on Hessian spaces-Reference-Cited by-同舟云学术

Regularity for critical points of convex functionals on Hessian spaces

Published:2022-09-15 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bhattacharya Arunima

Abstract

We consider variational integrals of the form ∫ F ( D 2 u ) \int F(D^2u) where F F is convex and smooth on the Hessian space. We show that a critical point u ∈ W 2 , ∞ u\in W^{2,\infty } of such a functional under compactly supported variations is smooth if the Hessian of u u has a small oscillation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2022-16051-1/S0002-9939-2022-16051-1.pdf

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