Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources
- Authors: Salsa, Sandro; Tulone, Francesco; Verzini, Gianmaria
- Publication year: 2018
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/424616
Abstract
In this paper we construct a viscosity solution of a two-phase free boundary problem for a class of fully nonlinear equation with distributed sources, via an adaptation of the Perron method. Our results extend those in [Caffarelli, 1988], [Wang, 2003] for the homogeneous case, and of [De Silva, Ferrari, Salsa, 2015] for divergence form operators with right hand side.