Remarks on the gradient of an infinity-harmonic function

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dc.contributor.authorBhattacharya, Tilak
dc.date.accessioned2021-08-18T15:00:34Z
dc.date.available2021-08-18T15:00:34Z
dc.date.issued2007-11-05
dc.description.abstractIn this work we (i) prove a maximum principle for the modulus of the gradient of infinity-harmonic functions, (ii) prove some local properties of the modulus, and (iii) prove that if the modulus is constant on the boundary of a planar disc then it is constant inside.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBhattacharya, T. (2007). Remarks on the gradient of an infinity-harmonic function. <i>Electronic Journal of Differential Equations, 2007</i>(148), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14362
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectInfinity-harmonic
dc.subjectGradient
dc.subjectMaximum principle
dc.titleRemarks on the gradient of an infinity-harmonic function
dc.typeArticle

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