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Journal of the London Mathematical Society 2003 67(1):123-136; doi:10.1112/S0024610702003769
© 2003 by London Mathematical Society
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© The London Mathematical Society

Mappings of Finite Distortion: Ln log{alpha} L-Integrability

T. Iwaniec, P. Koskela, G. Martin and C. Sbordone

Syracuse University Syracuse, NY, USA
University of Jyväskylä Jyväskylä, Finland
University of Auckland Auckland, New Zealand
University of Naples Naples, Italy

Received 3 August 2001. Revision received 24 May 2002.

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.


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