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.