Approximation of W1,p Sobolev Homeomorphism by Diffeomorphism and the Signs of the Jacobian
Campbell, D., Hencl, S. & Tengvall, Ville (2016). Approximation of W1,p Sobolev Homeomorphism by Diffeomorphism and the Signs of the Jacobian. Preprint, submitted.
Published in
Advances in MathematicsDate
2016Copyright
© the Authors, 2016.
Publisher
ElsevierISSN Search the Publication Forum
0001-8708
Please see also
http://urn.fi/URN:NBN:fi:jyu-201904052076Metadata
Show full item recordCollections
Related items
Showing items with similar title or keywords.
-
Approximation of W1,p Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
Campbell, D.; Hencl, S.; Tengvall, Ville (Elsevier Inc., 2018)Let Ω ⊂ R n, n ≥ 4, be a domain and 1 ≤ p < [n/2], where [a] stands for the integer part of a. We construct a homeomorphism f ∈ W1,p((−1, 1)n, R n) such that Jf = det Df > 0 on a set of positive measure and Jf < 0 on a set ... -
Jacobian of weak limits of Sobolev homeomorphisms
Hencl, Stanislav; Onninen, Jani (Walter de Gruyter GmbH, 2018)Let Ω be a domain in Rn, where n=2,3. Suppose that a sequence of Sobolev homeomorphisms fk:Ω→Rn with positive Jacobian determinants, J(x,fk)>0, converges weakly in W1,p(Ω,Rn), for some p⩾1, to a mapping f. We show that ... -
Jacobian of weak limits of Sobolev homeomorphisms
Hencl, Stanislav; Onninen, Jani (Walter de Gruyter GmbH, 2018)Let Ω be a domain in Rn, where n=2,3. Suppose that a sequence of Sobolev homeomorphisms fk:Ω→Rn with positive Jacobian determinants, J(x,fk)>0, converges weakly in W1,p(Ω,Rn), for some p⩾1, to a mapping f. We show that ... -
Sobolev homeomorphic extensions onto John domains
Koskela, Pekka; Koski, Aleksis; Onninen, Jani (Elsevier Inc., 2020)Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general targets, this Sobolev variant of the ... -
Approximation by uniform domains in doubling quasiconvex metric spaces
Rajala, Tapio (Springer, 2021)We show that any bounded domain in a doubling quasiconvex metric space can be approximated from inside and outside by uniform domains.