Work

Higher-order differentiability of Korevaar--Schoen energy forms and energy measures

Year: 2026

Type: preprint

Abstract: In this paper, we investigate the differentiability of Korevaar--Schoen $p$-energy forms and the associated $p$-energy measures. We obtain higher-order derivatives by virtue of explicit realizations of Korevaar--Schoen $p$-energy forms and the associated $p$-energy measures as subsequential pointwise limits of certain double integrals.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.07869

Author: Shimizu, Ryosuke

Institution: Kyoto University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

OpenAlex ID: W7220968193

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