Existence of viscosity solutions to two-phase problems for fully nonlinear equations with distributed sources

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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.
Lingua originaleEnglish
pagine (da-a)147-173
Numero di pagine27
RivistaMathematics In Engineering
Volume1
Stato di pubblicazionePublished - 2018

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