Work

The Singular Set of Minima of Multiple Integrals

Year: 2026

Type: preprint

Abstract: The Hausdorff dimension of the singular set of local minimizers of quasiconvex integrals is strictly less than the ambient dimension.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.11546

Authors: De Filippis, Cristiana, Kristensen, Jan, Mingione, Giuseppe, Strong, Aidan

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7212279329

Cites: 11

Cited by: 1

Related to: 10