Improved regularity for a Hessian-dependent functional (Preprint)

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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
 
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