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Harnack's inequality for p-harmonic functions via stochastic games
Mikko ParviainenHannes LuiroEero Saksmansubject
Pure mathematicsApplied Mathematics010102 general mathematicsMathematical analysista111Mathematics::Analysis of PDEs16. Peace & justiceLipschitz continuity01 natural sciences010101 applied mathematicsHarnack's principleHarmonic functionInfinity Laplacian0101 mathematicsEquivalence (measure theory)AnalysisHarnack's inequalityMathematicsdescription
We give a proof of asymptotic Lipschitz continuity of p-harmonious functions, that are tug-of-war game analogies of ordinary p-harmonic functions. This result is used to obtain a new proof of Lipsc...
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-11-02 | Communications in Partial Differential Equations |