The Harnack Inequality for ∞-Harmonic Functions

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dc.contributor.authorLindqvist, Peter
dc.contributor.authorManfredi, Juan J.
dc.date.accessioned2018-08-22T20:52:19Z
dc.date.available2018-08-22T20:52:19Z
dc.date.issued1995-04-03
dc.description.abstractThe Harnack inequality for nonnegative viscosity solutions of the equa- tion ∆∞u = 0 is proved, extending a previous result of L.C. Evans for smooth solutions. The method of proof consists in considering ∆∞u = 0 as the limit as p → ∞ of the more familiar p-harmonic equation ∆pu = 0.
dc.description.departmentMathematics
dc.formatText
dc.format.extent5 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLindqvist, P. & Manfredi, J. J. (1995). The Harnack inequality for ∞-harmonic functions. Electronic Journal of Differential Equations, 1995(04), pp. 1-5.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7582
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 1995, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectHarnack inequality
dc.subjectp-Harmonic equations
dc.titleThe Harnack Inequality for ∞-Harmonic Functions
dc.typeArticle

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