Partial regularity for variational integrals with Morrey–Hölder zero‐order terms, and the limit exponent in Massari's regularity theorem
Year: 2025
Type: article
Abstract: We revisit the partial regularity theory for minimizers of non‐parametric integrals with emphasis on sharp dependence of the Hölder exponent on structural assumptions for general zero‐order terms. A particular case of our conclusions carries over to the parametric setting of Massari's regularity theorem for prescribed‐mean‐curvature hypersurfaces and there confirms optimal regularity up to the limit exponent.
DOI: 10.1112/jlms.70139
Authors: Thomas Schmidt, Jule Helena Schütt
Institution: Universität Hamburg
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,930
OpenAlex ID: W4409363874