English

Free boundary regularity for a degenerate fully non-linear elliptic problem with right hand side

Analysis of PDEs 2018-10-19 v1

Abstract

We consider an one-phase free boundary problem for a degenerate fully non-linear elliptic operators with non-zero right hand side. We use the approach present in \cite{DeSilva} to prove that flat free boundaries and Lipschitz free boundaries are C1,γC^{1, \gamma}.

Keywords

Cite

@article{arxiv.1810.07840,
  title  = {Free boundary regularity for a degenerate fully non-linear elliptic problem with right hand side},
  author = {R. Leitão and G. C Ricarte},
  journal= {arXiv preprint arXiv:1810.07840},
  year   = {2018}
}
R2 v1 2026-06-23T04:43:58.273Z