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arXiv:1306.2429 [math.AP]AbstractReferencesReviewsResources

Estimates on elliptic equations that hold only where the gradient is large

Cyril Imbert, Luis Silvestre

Published 2013-06-11, updated 2016-05-09Version 3

We consider a function which is a viscosity solution of a uniformly elliptic equation only at those points where the gradient is large. We prove that the H{\"o}lder estimates and the Harnack inequality, as in the theory of Krylov and Safonov, apply to these functions.

Comments: 18 pages
Journal: Journal of the European Mathematical Society, European Mathematical Society, 2016, 18, pp.1321-1338
Categories: math.AP
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