6533b831fe1ef96bd1298d67

RESEARCH PRODUCT

Regularity of the Inverse of a Sobolev Homeomorphism

Pekka Koskela

subject

Sobolev spaceMathematics::Functional AnalysisMathematics::Dynamical SystemsBounded variationMathematical analysisMathematics::Analysis of PDEsMathematics::General TopologyInverseMathematics::Geometric TopologyHomeomorphismMathematicsSobolev inequality

description

We give necessary and sufficient conditions for the inverse ofa Sobolev homeomorphism to be a Sobolev homeomorphism and conditions under which the inverse is of bounded variation.

https://doi.org/10.1142/9789814324359_0103