English

On certain degenerate one-phase free boundary problems

Analysis of PDEs 2019-12-16 v1

Abstract

We develop an existence and regularity theory for a class of degenerate one-phase free boundary problems. In this way we unify the basic theories in free boundary problems like the classical one-phase problem, the obstacle problem, or more generally for minimizers of the Alt-Phillips functional.

Keywords

Cite

@article{arxiv.1912.06551,
  title  = {On certain degenerate one-phase free boundary problems},
  author = {Daniela De Silva and Ovidiu Savin},
  journal= {arXiv preprint arXiv:1912.06551},
  year   = {2019}
}
R2 v1 2026-06-23T12:45:19.071Z