Calculus of Variations and Geometric Measure Theory

P. C. Aubin-Frankowski - G. E. Sodini - U. Stefanelli

The Brezis-Ekeland-Nayroles principle in metric spaces: time-continuous setting

created by sodini on 11 Sep 2026

[BibTeX]

preprint

Inserted: 11 sep 2026
Last Updated: 11 sep 2026

Year: 2026

ArXiv: 2606.14432 PDF

Abstract:

Based on a variational characterization of the local slope of a functional, we extend the celebrated Brezis-Ekeland-Nayroles null-minimization principle to curves of maximal slope in metric spaces. In the time continuous setting, we check that the ensuing global-in-time functionals admit minimizers.


Download: