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

Fuente: arXiv
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Main Authors: Nascimento, T. M., Nguyen, X. H., Stinga, P. R.
Format: Preprint
Published: 2025
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author Nascimento, T. M.
Nguyen, X. H.
Stinga, P. R.
author_facet Nascimento, T. M.
Nguyen, X. H.
Stinga, P. R.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_04856
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Regularity of solutions to degenerate and singular free boundary problems with volume constraint
Nascimento, T. M.
Nguyen, X. H.
Stinga, P. R.
Analysis of PDEs
Classical Analysis and ODEs
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.
title Regularity of solutions to degenerate and singular free boundary problems with volume constraint
topic Analysis of PDEs
Classical Analysis and ODEs
url https://arxiv.org/abs/2508.04856