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arXiv · 1511.04188

Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic Equations

Hui Yu
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Abstract

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 $C^{σ+α}$ continuous, then develop a bootstrap argument robust enough for operators that may depend on the solution and its σ-derivatives.

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Hui Yu. 2016-06-19. Smooth Solutions to a Class of Nonlocal Fully Nonlinear Elliptic Equations. https://arxiv.org/abs/1511.04188

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