Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic Equations
نویسندگان
چکیده
منابع مشابه
Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic Equations
We show that a certain class of fully nonlinear nonlocal equations have smooth solutions as long as the right-hand side is nice and the boundary datum is bounded. To this end we follow the classical strategy. We first show that solutions are Cσ+α continuous, then develop a bootstrap argument robust enough for operators that may depend on the solution and its σ-derivatives.
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2017
ISSN: 0022-2518
DOI: 10.1512/iumj.2017.66.6218