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arXiv · 2508.04856

Regularity of solutions to degenerate and singular free boundary problems with volume constraint

T. M. Nascimento·X. H. Nguyen·P. R. Stinga
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Abstract

We prove existence and regularity of solutions to degenerate and singular elliptic free boundary problems, where the volume of the positivity set of the solution is prescribed.

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T. M. Nascimento, X. H. Nguyen, P. R. Stinga. 2025-08-06. Regularity of solutions to degenerate and singular free boundary problems with volume constraint. https://arxiv.org/abs/2508.04856

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