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arXiv · 2606.14432

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

Pierre-Cyril Aubin-Frankowski·Giacomo Enrico Sodini·Ulisse Stefanelli
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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.

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Pierre-Cyril Aubin-Frankowski, Giacomo Enrico Sodini, Ulisse Stefanelli. 2026-06-12. The Brezis-Ekeland-Nayroles principle in metric spaces: time-continuous setting. https://arxiv.org/abs/2606.14432

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