<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Improved regularity for a Hessian-dependent functional |
Publication Date: | 2023-06-19 |
Authors: |
- Vincenzo Bianca
- Edgard Almeida Pimentel - José Miguel Urbano |
Abstract: | We prove that minimizers of the \( L^d \)-norm of the Hessian in the unit ball of \( \mathbb{R}^d \) are locally of class \( C^{1,\alpha} \). Our findings extend previous results on Hessian- dependent functionals to the borderline case and resonate with the Hölder regularity theory available for elliptic equations in double-divergence form. |
Institution: | DMUC 23-19 |
Online version: | http://www.mat.uc.pt...prints/eng_2023.html |
Download: | Not available |