6533b7d1fe1ef96bd125bbc2

RESEARCH PRODUCT

Approximation of W1,p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian

D. CampbellS. HenclVille Tengvall

subject

Sobolev homeomorphismapproksimointiJacobian

description

Let Ω ⊂ R n, n ≥ 4, be a domain and 1 ≤ p 0 on a set of positive measure and Jf < 0 on a set of positive measure. It follows that there are no diffeomorphisms (or piecewise affine homeomorphisms) fk such that fk → f in W1,p . peerReviewed

http://urn.fi/URN:NBN:fi:jyu-201904052076