A note on higher regularity boundary Harnack inequality
By D. Silva, Ovidiu Savin. 2014
54 citations recorded by the source corpus.
We show that the quotient of two positive harmonic functions vanishing on the boundary of a $C^{k,\alpha}$ domain is of class $C^{k,\alpha}$ up to the boundary.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/739f7dae3e9f4def28d52126ca876173067523df
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- Regularity of the optimal sets for some spectral functionals (2016, methodology): “In order to pass from C1,α to C∞ we need an improved boundary Harnack principle, as it was proved by De Silva and Savin [20] for harmonic functions.”