Degenerate Weakly (k1, k2)-Quasiregular Mappings
نویسندگان
چکیده
منابع مشابه
Linear boundary values of weakly quasiregular mappings
We use a new construction in the spirit of Gromov’s convex integration to prove a rather surprising result that every affine map is the boundary value of a weakly quasiregular map in any Sobolev space with index p < n/2. Our method is based on constructing special Cauchy sequences by convex integration for certain vectorial Hamilton–Jacobi equations. 2000 Académie des sciences/Éditions scient...
متن کاملExamples of Uniformly Quasiregular Mappings
In this paper we construct examples of uniformly quasiregular (uqr) mappings. These provide counterexamples for a rigidity conjecture in quasiregular dynamics. It states that a closed manifold of dimension at least three, which admits a branched uqr mapping, is quasiconformally equivalent to an ordinary sphere Sn. 1. Statements and results In this paper we construct examples of a certain type o...
متن کاملOn Injectivity of Quasiregular Mappings
We give sufficient conditions for a planar quasiregular mapping to be injective in terms of the range of the differential matrix.
متن کاملA linear boundary value problem for weakly quasiregular mappings in space
Given a number L ≥ 1, a weakly L-quasiregular map on a domainΩ in spaceRn is amapu in a Sobolev spaceW 1,p loc (Ω;R n) that satisfies |Du(x)|n ≤ LdetDu(x) almost everywhere in Ω. In this paper, we study the problem concerning linear boundary values of weakly L-quasiregular mappings in spaceRn with dimension n ≥ 3. It turns out this problem depends on the power p of the underlyingSobolev space. ...
متن کاملVertex-Disjoint Copies of K1 + (K1 ∪K2) in Graphs
Let S denote the graph obtained from K4 by removing two edges which have an endvertex in common. Let k be an integer with k ≥ 2. Let G be a graph with |V (G)| ≥ 4k and σ2(G) ≥ |V (G)|/2 + 2k− 1, and suppose that G contains k vertex-disjoint triangles. In the case where |V (G)| = 4k+2, suppose further that G K4t+3 ∪ K4k−4t−1 for any t with 0 ≤ t ≤ k − 1. Under these assumptions, we show that G c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Kyungpook mathematical journal
سال: 2011
ISSN: 1225-6951
DOI: 10.5666/kmj.2011.51.1.059