Deformations with smallest weighted Lp average distortion and Nitsche type phenomena

dc.contributor.author	Martin, G.
dc.contributor.author	McKubre-Jordens, M.
dc.date.accessioned	2011-11-20T23:13:36Z
dc.date.available	2011-11-20T23:13:36Z
dc.date.issued	2011	en
dc.description.abstract	The existence and uniqueness properties for extremal mappings with smallest weighted Lp distortion between annuli and the related Grotzsch type problems are discussed. An interesting critical phase type phenomena is observed. When p < 1, apart from the identity map, minimizers never exist. When p = 1 we observe Nitsche type phenomena; minimisers exist within a range of conformal moduli determined by properties of the weight function and not otherwise. When p > 1 minimisers always exist. Interpreting the weight function as a density or "thickness profi le" leads to interesting models for the deformation of highly elastic bodies and tearing type phenomena.	en
dc.identifier.citation	Martin, G., McKubre-Jordens, M. (2011) Deformations with smallest weighted Lp average distortion and Nitsche type phenomena. Journal of the London Mathematical Society, (in press).	en
dc.identifier.issn	0024-6107
dc.identifier.uri	http://hdl.handle.net/10092/5841
dc.language.iso	en
dc.publisher	University of Canterbury. Mathematics and Statistics	en
dc.rights.uri	https://hdl.handle.net/10092/17651	en
dc.subject.anzsrc	Field of Research::01 - Mathematical Sciences	en
dc.title	Deformations with smallest weighted Lp average distortion and Nitsche type phenomena	en
dc.type	Journal Article

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