Indexed metadata
Existence and Regularity in the Fully Nonlinear One-Phase Free Boundary Problem
Matteo Carducci, Bozhidar Velichkov
Source abstract
Abstract. We consider viscosity solutions to one-phase free boundary problems for general fully nonlinear operators and free boundary condition depending on the normal vector. We show the existence of viscosity solutions via Perron’s method and we prove [Formula: see text] regularity of flat free boundaries via a quadratic improvement of flatness. Finally, we obtain the higher regularity of the free boundary via a hodograph transform.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.