Skip to main content
Article thumbnail
Location of Repository

Previous Up Next Article Citations From References: 1 From Reviews: 0

By Yan Baisheng (-mis

Abstract

the boundary value problem for quasi-regular mappings in space. The main result of the paper shows that for any ε> 0 and any piecewise affine map ϕ ∈ W 1,n (Ω; R n) with |Dϕ(x) | n � Ldet Dϕ(x) for almost all x ∈ Ω there exists a map u ∈ W 1,n (Ω; R n) such that |Du(x)| n = L det Du(x) a.e. in Ω, u|∂Ω = ϕ, ‖u − ϕ ‖ L n (Ω) < ε. The author exploits the idea of Baire’s category method as presented in series of papers by Dacorogna and Marcellini. However, the theorems of Dacorogna and Marcellini cannot be directly applied to the results of the author since the sets involved are unbounded. Reviewed by M. Yu. Vasil ′ chi

Topics: A Baire’s category method for the Dirichlet problem of quasiregular mappings. (English summary
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.352.7544
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.