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Mappings of Finite Distortion: L n log α L ‐Integrability
Author(s) -
Iwaniec T.,
Koskela P.,
Martin G.,
Sbordone C.
Publication year - 2003
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610702003769
Subject(s) - holomorphic function , degenerate energy levels , distortion (music) , elasticity (physics) , mathematics , nonlinear system , pure mathematics , mathematical analysis , physics , quantum mechanics , amplifier , cmos , thermodynamics , optoelectronics
Recently, systematic studies of mappings of finite distortion have emerged as a key area in geometric function theory. The connection with deformations of elastic bodies and regularity of energy minimizers in the theory of nonlinear elasticity is perhaps a primary motivation for such studies, but there are many other applications as well, particularly in holomorphic dynamics and also in the study of first order degenerate elliptic systems, for instance the Beltrami systems we consider here.