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The boundary Harnack inequality for infinity harmonic functions in Lipschitz domains satisfying the interior ball condition
Petri Juutinensubject
Harnack's principleLipschitz domainHarmonic functionApplied MathematicsMathematical analysisMathematics::Analysis of PDEsBall (mathematics)Lipschitz continuityAnalysisMathematicsHarnack's inequalitydescription
Abstract In this note, we give a short proof for the boundary Harnack inequality for infinity harmonic functions in a Lipschitz domain satisfying the interior ball condition. Our argument relies on the use of quasiminima and the notion of comparison with cones.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-10-01 | Nonlinear Analysis: Theory, Methods & Applications |