A remark on C2 infinity-harmonic functions

Simple item page
dc.contributor.authorYu, Yifeng
dc.date.accessioned2021-07-20T18:26:39Z
dc.date.available2021-07-20T18:26:39Z
dc.date.issued2006-10-06
dc.description.abstractIn this paper, we prove that any nonconstant, C2 solution of the infinity Laplacian equation uₓiuₓj uₓiₓj = 0 can not have interior critical points. This result was first proved by Aronsson [2] in two dimensions. When the solution is C4, Evans [6] established a Harnack inequality for |Du|, which implies that non-constant C4 solutions have no interior critical points for any dimension. Our method is strongly motivated by the work in [6].
dc.description.departmentMathematics
dc.formatText
dc.format.extent4 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationYu, Y. (2006). A remark on C2 infinity-harmonic functions. <i>Electronic Journal of Differential Equations, 2006</i>(122), pp. 1-4.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13995
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, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectInfinity Laplacian equation
dc.subjectInfinity harmonic function
dc.subjectViscosity solutions
dc.titleA remark on C2 infinity-harmonic functions
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
yu.pdf
Size:
166.83 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations