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arXiv · 2010.16206

On nonlocal minimal graphs

Matteo Cozzi·Luca Lombardini
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Abstract

We develop a functional analytic approach for the study of nonlocal minimal graphs. Through this, we establish existence and uniqueness results, a priori estimates, comparison principles, rearrangement inequalities, and the equivalence of several notions of minimizers and solutions.

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Matteo Cozzi, Luca Lombardini. 2020-10-30. On nonlocal minimal graphs. https://arxiv.org/abs/2010.16206

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