On Functions with a Conjugate
| dc.contributor.author | Baird, Paul | |
| dc.contributor.author | Eastwood, Michael | |
| dc.date.accessioned | 2016-08-03T02:43:02Z | |
| dc.date.available | 2016-08-03T02:43:02Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Harmonic functions of two variables are exactly those that admit a conjugate, namely a function whose gradient has the same length and is everywhere orthogonal to the gradient of the original function. We show that there are also partial differential equations controlling the functions of three variables that admit a conjugate. | en_AU |
| dc.description.sponsorship | The first author is grateful for support provided by the Australian Research Council and to the Mathematical Sciences Institute at the Australian National University; part of this work was carried out under the award of a délégation auprès du CNRS. The second author is a Federation Fellow of the Australian Research Council and is grateful to the Département de Mathématiques á l’Université de Bretagne Occidentale for support and hospitality while working on this article. | en_AU |
| dc.identifier.issn | 0373-0956 | en_AU |
| dc.identifier.uri | http://hdl.handle.net/1885/107111 | |
| dc.publisher | Association des Annales de l'Institut Fourier | en_AU |
| dc.rights | © Association des Annales de l’institut Fourier, 2015. http://www.sherpa.ac.uk/romeo/issn/0373-0956/..."Publisher's version/PDF may be used. On author's personal website or institutional website or institutional server" from SHERPA/RoMEO site (as at 3/08/16). | en_AU |
| dc.source | Annales de l'institut Fourier | en_AU |
| dc.subject | conjugate function | en_AU |
| dc.subject | conformal invariant | en_AU |
| dc.subject | partial differential inequality | en_AU |
| dc.subject | partial differential equation | en_AU |
| dc.subject | 3-harmonic function | en_AU |
| dc.subject | conformal Killing field | en_AU |
| dc.title | On Functions with a Conjugate | en_AU |
| dc.type | Journal article | en_AU |
| dcterms.accessRights | Open Access | en_AU |
| local.bibliographicCitation.issue | 1 | en_AU |
| local.bibliographicCitation.lastpage | 314 | en_AU |
| local.bibliographicCitation.startpage | 277 | en_AU |
| local.contributor.affiliation | Eastwood, M., Mathematical Sciences Institute, The Australian National University | en_AU |
| local.contributor.authoruid | u4656195 | en_AU |
| local.identifier.citationvolume | 65 | en_AU |
| local.identifier.doi | 10.5802/aif.2931 | en_AU |
| local.identifier.essn | 1777-5310 | en_AU |
| local.publisher.url | http://aif.cedram.org/?lang=fr | en_AU |
| local.type.status | Published Version | en_AU |