Data for: Non-local, non-convex functionals converging to Sobolev norms

Published: 26-04-2021| Version 1 | DOI: 10.17632/bkygbwj995.1
Contributor:
Hoai-Minh Nguyen

Description

We study the pointwise convergence and the $\Gamma$-convergence of a family of non-local, non-convex functionals $\Lambda_\delta$ in $L^p(\Omega)$ for $p>1$. We show that the limits are multiples of $\int_{\Omega} |\nabla u|^p$. This is a continuation of our previous work where the case $p=1$ was considered.

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