IMPROVED REGULARITY FOR A HESSIAN-DEPENDENT FUNCTIONAL

Vincenzo Bianca; Edgard A. Pimentel; José Miguel Urbano

doi:10.1090/proc/16894

IMPROVED REGULARITY FOR A HESSIAN-DEPENDENT FUNCTIONAL

Vincenzo Bianca, Edgard A. Pimentel, José Miguel Urbano

Research output: Contribution to journal › Article › peer-review

Abstract

We prove that minimizers of the L^d-norm of the Hessian in the unit ball of R^d are locally of class C^1,α. 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.

Original language	English (US)
Pages (from-to)	4393-4403
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	152
Issue number	10
DOIs	https://doi.org/10.1090/proc/16894
State	Published - Oct 2024

Bibliographical note

Publisher Copyright:
© 2024 American Mathematical Society.

Keywords

Hessian-dependent functionals, improved regularity in Hölder spaces

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/16894

Cite this

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abstract = "We prove that minimizers of the Ld-norm of the Hessian in the unit ball of Rd are locally of class C1,α. Our findings extend previous results on Hessian-dependent functionals to the borderline case and resonate with the H{\"o}lder regularity theory available for elliptic equations in double-divergence form.",

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IMPROVED REGULARITY FOR A HESSIAN-DEPENDENT FUNCTIONAL

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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