Explicit solutions of Jensen's auxiliary equations via extremal Lipschitz extensions

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dc.contributor.authorCharro, Fernando
dc.date.accessioned2021-09-22T19:23:52Z
dc.date.available2021-09-22T19:23:52Z
dc.date.issued2020-04-23
dc.description.abstractIn this note we prove that McShane and Whitney's Lipschitz extensions are viscosity solutions of Jensen's auxiliary equations which are known to have a key role in Jensen's celebrated proof of uniqueness of infinity harmonic functions, and therefore of absolutely minimizing Lipschitz extensions. To the best of the author's knowledge, this result does not appear to be known in the literature in spite of the vast amount of work on the topic.
dc.description.departmentMathematics
dc.formatText
dc.format.extent6 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationCharro, F. (2020). Explicit solutions of Jensen's auxiliary equations via extremal Lipschitz extensions. <i>Electronic Journal of Differential Equations, 2020</i>(37), pp. 1-6.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14543
dc.language.isoen
dc.publisherTexas 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, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectLipschitz extension
dc.subjectMcShane-Whitney extension
dc.subjectInfinity Laplacian
dc.titleExplicit solutions of Jensen's auxiliary equations via extremal Lipschitz extensionsen_US
dc.typeArticle

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