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An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions (2009)
| Citations: | 33 - 6 self |
BibTeX
@MISC{Armstrong09aneasy,
author = {Scott N. Armstrong and Charles K. Smart},
title = {An easy proof of Jensen’s theorem on the uniqueness of infinity harmonic functions },
year = {2009}
}
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Abstract
We present a new, easy, and elementary proof of Jensen’s Theorem on the uniqueness of infinity harmonic functions. The idea is to pass to a finite difference equation by taking maximums and minimums over small balls.
Keyphrases
infinity harmonic function viscosity solution easy proof infinity laplace equation vertex x0 cone function small ball following result infinity subharmonic short article dirichlet boundary condition enjoys comparison direct path probabilistic argument following property elementary proof intricate viscosity solution method previous proof employ viscosity subsolution bounded domain finite difference equation famous result deep result well-known equivalence new proof
