TY - JOUR
T1 - Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources
AU - Tulone, Francesco
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10447/424616
M3 - Article
VL - 1
SP - 147
EP - 173
JO - Mathematics In Engineering
JF - Mathematics In Engineering
SN - 2640-3501
ER -