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MAPPINGS OF FINITE DISTORTION: $L^n \log^{\alpha} L$-INTEGRABILITY

Published online by Cambridge University Press:  25 March 2003

T. IWANIEC ,
P. KOSKELA ,
G. MARTIN  and
C. SBORDONE
T. IWANIEC
Affiliation:
Syracuse University, Syracuse, NY, USA
P. KOSKELA
Affiliation:
University of Jyväskylä, Jyväskylä, Finland
G. MARTIN
Affiliation:
University of Auckland, Auckland, New Zealand
C. SBORDONE
Affiliation:
University of Naples, Naples, Italy
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Abstract

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.

Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 67 , Issue 1 , February 2003 , pp. 123 - 136
Copyright
The London Mathematical Society, 2003

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