Perron’s method for nonlocal fully nonlinear equations
نویسندگان
چکیده
منابع مشابه
Perron’s method for nonlocal fully nonlinear equations
This paper is concerned with existence of viscosity solutions of non-translation invariant nonlocal fully nonlinear equations. We construct a discontinuous viscosity solution of such nonlocal equation by Perron’s method. If the equation is uniformly elliptic, we prove the discontinuous viscosity solution is Hölder continuous and thus it is a viscosity solution.
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ژورنال
عنوان ژورنال: Analysis & PDE
سال: 2017
ISSN: 1948-206X,2157-5045
DOI: 10.2140/apde.2017.10.1227