Published Paper

Inserted: 4 apr 2022
Last Updated: 20 may 2023

Journal: J. Math. Pures Appl.
Volume: 170
Pages: 136--149
Year: 2023
Links: Springer view-only version

Abstract:

We study some non-local functionals on the Sobolev space $W^{1,p}_0(\Omega)$ involving a double integral on $\Omega\times\Omega$ with respect to a measure $\mu$. We introduce a suitable notion of convergence of measures on product spaces which implies a stability property in the sense of $\Gamma$-convergence of the corresponding functionals.

Keywords: Gamma-convergence, non-local functionals, graphons, cut norm

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