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

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Hoài-Minh Nguyên · YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.17632/bkygbwj995.1

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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article

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en

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https://easy.dans.knaw.nl/ui/datasets/id/easy-dataset:299571

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