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

2017/12/10 by Ferrari, Fausto
#35B65 #35D40 #35H20 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.03498

Abstract

We prove Hölder continuous regularity of bounded, uniformly continuous, viscosity solutions of degenerate fully nonlinear equations defined in all of ℝⁿ space. In particular the result applies also to some operators in Carnot groups.

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