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

2018/10/18 by Leitão, R., Ricarte, G. C
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.07840

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 \citeDeSilva to prove that flat free boundaries and Lipschitz free boundaries are C^{1, γ}.

Related

• Free boundary regularity for fully nonlinear non-homogeneous two-phase problems
• Free boundary regularity for a problem with right hand side
• Regularity of flat free boundaries for a p(x)-Laplacian problem with right hand side
• Regularity for degenerate two-phase free boundary elliptic problems
• Fully nonlinear free boundary problems: optimal boundary regularity beyond convexity