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arxiv: 1712.03498 · v1 · pith:DIWAB3MInew · submitted 2017-12-10 · 🧮 math.AP

An application of the Theorem on Sums to viscosity solutions of degenerate fully nonlinear equations

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keywords continuousdegenerateequationsfullynonlinearsolutionsviscosityapplication
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We prove H\"older continuous regularity of bounded, uniformly continuous, viscosity solutions of degenerate fully nonlinear equations defined in all of $\mathbb{R}^n$ space. In particular the result applies also to some operators in Carnot groups.

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