6533b7d9fe1ef96bd126d548

RESEARCH PRODUCT

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

Carlo SbordonePekka KoskelaTadeusz IwaniecGaven Martin

subject

Distortion (mathematics)Pure mathematicsGeometric function theoryElliptic systemsGeneral MathematicsDegenerate energy levelsHolomorphic functionTopologyFirst orderNonlinear elasticityConnection (mathematics)Mathematics

description

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.

yearjournalcountryeditionlanguage
2003-02-01Journal of the London Mathematical Society
https://doi.org/10.1112/s0024610702003769