Remarks on the gradient of an infinity-harmonic function
dc.contributor.author | Bhattacharya, Tilak | |
dc.date.accessioned | 2021-08-18T15:00:34Z | |
dc.date.available | 2021-08-18T15:00:34Z | |
dc.date.issued | 2007-11-05 | |
dc.description.abstract | In this work we (i) prove a maximum principle for the modulus of the gradient of infinity-harmonic functions, (ii) prove some local properties of the modulus, and (iii) prove that if the modulus is constant on the boundary of a planar disc then it is constant inside. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 11 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Bhattacharya, T. (2007). Remarks on the gradient of an infinity-harmonic function. Electronic Journal of Differential Equations, 2007(148), pp. 1-11. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14362 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Infinity-harmonic | |
dc.subject | Gradient | |
dc.subject | Maximum principle | |
dc.title | Remarks on the gradient of an infinity-harmonic function | |
dc.type | Article |