Improved regularity for a Hessian-dependent functional
| Autor: | Bianca, Vincenzo, Pimentel, Edgard A., Urbano, José Miguel |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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 H\"older regularity theory available for elliptic equations in double-divergence form. |
| Databáze: | arXiv |
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