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. Electronic Journal of Differential Equations, 1993(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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