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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Mathematics

Mathematical Analysis

Geometry

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Mathematics Regular polygon Sobolev space Pure mathematics Mathematical analysis Geometry

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Type: article
Language: en
Landing Page: https://easy.dans.knaw.nl/ui/datasets/id/easy-dataset:299571
OA Status: green
Related Works: 20
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DOI: https://doi.org/10.17632/bkygbwj995.1

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

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Language: en

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Publication year: 2021

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Publication date: 2021-04-26

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Authors: Hoài-Minh Nguyên

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

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Concepts: Mathematics, Regular polygon, Sobolev space, Pure mathematics, Mathematical analysis, Geometry

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