Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions

Francesco Nobili; Federico Renzi; Federico Vitillaro

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arXiv · 2511.13320

Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions

Francesco Nobili·Federico Renzi·Federico Vitillaro

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Abstract

We study the Mosco-convergence of Cheeger energies on Gromov-Hausdorff converging spaces satisfying different types of curvature dimension conditions. The case of functions of bounded variation is also considered, and applications to the continuity of Neumann eigenvalues are obtained. Our method, covering possibly infinite dimensional settings, is based on a Lagrangian approach and combines the stability properties of Wasserstein geodesics with the characterization of the nonsmooth calculus in duality with test plans.

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BibTeX RIS

Francesco Nobili, Federico Renzi, Federico Vitillaro. 2026-07-28. Mosco-convergence of Cheeger energies on varying spaces satisfying curvature dimension conditions. https://arxiv.org/abs/2511.13320

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