Regularity of solutions to degenerate and singular free boundary problems with volume constraint
Analysis of PDEs
2026-02-25 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2508.04856,
title = {Regularity of solutions to degenerate and singular free boundary problems with volume constraint},
author = {T. M. Nascimento and X. H. Nguyen and P. R. Stinga},
journal= {arXiv preprint arXiv:2508.04856},
year = {2026}
}
Comments
14 pages. To appear in Interfaces and Free Boundaries