A Rado type theorem for p-harmonic functions in the plane

Simple item page
dc.contributor.authorKilpelainen, Tero
dc.date.accessioned2018-08-17T17:54:44Z
dc.date.available2018-08-17T17:54:44Z
dc.date.issued1994-12-06
dc.description.abstractWe show that if u ∈ C1(Ω) satisfies the p-Laplace equation div(|∇u|p−2∇u) = 0 in Ω \ {x : u(x) = 0}, then u is a solution to the p-Laplacian in the whole Ω ⊂ ℝ2.
dc.description.departmentMathematics
dc.formatText
dc.format.extent4 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKilpelainen, T. (1994). A Rado type theorem for p-harmonic functions in the plane. <i>Electronic Journal of Differential Equations, 1994</i>(09), pp. 1-4.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/7549
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, 1994, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectp-harmonic functions
dc.subjectp-Laplacian
dc.subjectRemovable sets
dc.titleA Rado type theorem for p-harmonic functions in the plane
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
1994-Kilpelainen.pdf
Size:
113.97 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