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arXiv · 2411.04110

Constraint maps and free boundaries

Alessio Figalli·André Guerra·Sunghan Kim·Henrik Shahgholian
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Abstract

In this short expository note, we present a selection of classic and recent ideas in free boundary theory, with a focus on the vectorial case, referred to here as constraint maps. The note includes a brief historical perspective and highlights the latest heuristic-level results.

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Alessio Figalli, André Guerra, Sunghan Kim, Henrik Shahgholian. 2024-11-06. Constraint maps and free boundaries. https://arxiv.org/abs/2411.04110

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