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 originale | English |
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pagine (da-a) | 147-173 |
Numero di pagine | 27 |
Rivista | Mathematics In Engineering |
Volume | 1 |
Stato di pubblicazione | Published - 2018 |
All Science Journal Classification (ASJC) codes
- ???subjectarea.asjc.2600.2604???
- ???subjectarea.asjc.2600.2610???
- ???subjectarea.asjc.2600.2603???