Improved regularity for a Hessian-dependent functional
Analysis of PDEs
2023-06-21 v1
Abstract
We prove that minimizers of the -norm of the Hessian in the unit ball of are locally of class . Our findings extend previous results on Hessian-dependent functionals to the borderline case and resonate with the H\"older regularity theory available for elliptic equations in double-divergence form.
Cite
@article{arxiv.2306.10995,
title = {Improved regularity for a Hessian-dependent functional},
author = {Vincenzo Bianca and Edgard A. Pimentel and José Miguel Urbano},
journal= {arXiv preprint arXiv:2306.10995},
year = {2023}
}