Estimates for smooth absolutely minimizing Lipschitz extensions

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dc.contributor.authorEvans, Lawrence C.
dc.date.accessioned2018-08-16T19:04:05Z
dc.date.available2018-08-16T19:04:05Z
dc.date.issued1993-10-12
dc.description.abstractI present some elementary maximum principle arguments, establishing interior gradient bounds and Harnack inequalities for both u and |Du|, where u is a smooth solution of the degenerate elliptic PDE ∆∞u = 0. These calculations in particular extend to higher dimensions G. Aronsson’s assertion [2] that a nonconstant, smooth solution can have no interior critical point.
dc.description.departmentMathematics
dc.formatText
dc.format.extent9 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationEvans, L. C. (1993). Estimates for smooth absolutely minimizing Lipschitz extensions. <i>Electronic Journal of Differential Equations, 1993</i>(03), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7537
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, 1993, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectLipschitz extensions
dc.subjectHarnack inequalities
dc.titleEstimates for smooth absolutely minimizing Lipschitz extensions
dc.typeArticle

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