6533b7d8fe1ef96bd126b5a6

RESEARCH PRODUCT

Mappings of finite distortion: The zero set of the Jacobian

Pekka KoskelaJan Malý

subject

Discrete mathematicsClass (set theory)Zero setGeneralizationApplied MathematicsGeneral MathematicsOpen setDistortion (mathematics)symbols.namesakeBounded functionJacobian matrix and determinantsymbolsCoincidence pointMathematics

description

This paper is part of our program to establish the fundamentals of the theory of mappings of finite distortion [6], [1], [8], [13], [14], [7] which form a natural generalization of the class of mappings of bounded distortion, also called quasiregular mappings. Let us begin with the definition. We assume that Ω ⊂ Rn is a connected open set. We say that a mapping f : Ω → Rn has finite distortion if:

yearjournalcountryeditionlanguage
2003-06-01Journal of the European Mathematical Society
https://doi.org/10.1007/s10097-002-0046-9