Calculus of Variations and Geometric Measure Theory
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D. Lučić - E. Pasqualetto

Gamma-convergence of Cheeger energies with respect to increasing distances

created by pasqualetto on 15 Feb 2021



Inserted: 15 feb 2021

Year: 2021

ArXiv: 2102.06276 PDF


We prove a $\Gamma$-convergence result for Cheeger energies along sequences of metric measure spaces, where the measure space is kept fixed, while distances are monotonically converging from below to the limit one. As a consequence, we show that the infinitesimal Hilbertianity condition is stable under this kind of convergence of metric measure spaces.

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