6533b82dfe1ef96bd1291cd5

RESEARCH PRODUCT

Homeomorphisms of Finite Distortion

Pekka KoskelaStanislav Hencl

subject

Distortion (mathematics)Sobolev spaceOrientation (vector space)Quasiconformal mappingPure mathematicsComposition operatorMathematics::Analysis of PDEsInverseCoarea formulaMathematicsModuli

description

In this chapter we establish the optimal regularity of the inverse mapping in higher dimensions and optimal Sobolev regularity for composites. Moreover, we establish optimal moduli of continuity for mappings in our classes and we discuss orientation preservation and approximation of Sobolev homeomorphisms.

yearjournalcountryeditionlanguage
2013-11-20
https://doi.org/10.1007/978-3-319-03173-6_5