Anisotropic Sobolev homeomorphisms

6533b872fe1ef96bd12d2e4e

RESEARCH PRODUCT

Anisotropic Sobolev homeomorphisms

Luigi D'onofrio Patrizia Di Gironimo Carlo Sbordone Roberta Schiattarella

subject

Sobolev space Pure mathematics General Mathematics A domain Inverse Sobolev homeomorphisms Anisotropy Homeomorphism Mathematics

description

Let › ‰ R 2 be a domain. Suppose that f 2 W 1;1 loc (›;R 2 ) is a homeomorphism. Then the components x(w), y(w) of the inverse f i1 = (x;y): › 0 ! › have total variations given by jryj(› 0 ) = › fl fl @f fl fl dz; jrxj(› 0 ) = › fl fl @f @y fl fl dz:

year	journal	country	edition	language
2011-08-01	Annales Academiae Scientiarum Fennicae Mathematica

https://doi.org/10.5186/aasfm.2011.3632

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