32 Result(s)
-
Article
On the normality of families of space map**s with branching
We study space map**s with branching that satisfy modulus inequalities. For classes of these map**s, we obtain several sufficient conditions for the normality of families.
-
Article
Removal of singularities and analogs of the Sokhotskii–Weierstrass theorem for Q-map**s
We prove that an open discrete Q-map** \( f:D \to \overline {{\mathbb{R}^n}} \) has a continuous extension to an is...
-
Article
On one modulus inequality for map**s with finite length distortion
The Väisälä inequality, which is well known in the theory of quasilinear map**s, is extended to the class of map**s with finite length distortion.
-
Article
Generalization of one Poletskii lemma to classes of space map**s
The paper is devoted to investigations in the field of space map**s. We prove that open discrete map**s f ∈ W 1,n loc such that their o...
-
Article
On the integral characterization of some generalized quasiregular map**s and the significance of the conditions of divergence of integrals in the geometric theory of functions
The paper deals with the theory of space map**s. For a generalization of quasiregular map**s important for the investigation of the Sobolev and other known classes of map**s, we propose a simple conditio...
-
Article
On the sets of branch points of map**s more general than quasiregular
It is shown that if a point x 0 ∊ ℝ n , n ≥ 3, is an essential isolated singularity of an open discrete Q-map** f : D →
-
Article
Estimation of dilatations for map**s more general than quasiregular map**s
We consider the so-called ring Q-map**s, which are natural generalizations of quasiregular map**s in a sense of Väisälä’s geometric definition of moduli. It is shown that, under the condition of nondegeneracy...
-
Article
On branch points of three-dimensional map**s with unbounded characteristic of quasiconformality
For open discrete map**s \( f:D\backslash \left\{ b \right\} \to {\mathbb{R}^3} \) of a domain
-
Article
On some properties of generalized quasiisometries with unbounded characteristic
We consider a family of open discrete map**s \( f:D \to \overline {{{\mathbb R}^n}} \) that distort, in a special way, the p-...
-
Article
On the openness and discreteness of map**s with unbounded characteristic of quasiconformality
The paper is devoted to the investigation of topological properties of space map**s. It is shown that orientation-preserving map**s ...
-
Article
Analogs of the Ikoma–Schwartz lemma and Liouville theorem for map**s with unbounded characteristic
We obtain results on the local behavior of open discrete map**s \( f:D \to {\mathbb{R}^n} \) , n ≥ 2, that satisfy cer...
-
Article
On the boundary behavior of open discrete map**s with unbounded characteristic
We study the problem of extension of map**s \( f:D\to \overline{{{{\mathbb{R}}^n}}} \) , n ≥ 2, to the boundary of a domain D. Under certain conditions imposed on a measurable f...
-
Article
On the Orlicz–Sobolev Classes and Map**s with Bounded Dirichlet Integral
It is shown that homeomorphisms f in \( {{\mathbb{R}}^n} \) , n ≥ 2, with finite Iwaniec distortion of the Orlicz–Sobole...
-
Article
On Equicontinuous Families of Map**s Without Values in Variable Sets
The present paper is devoted to the study of the classes of map**s with unbounded characteristics of quasiconformality. We prove sufficient conditions for the equicontinuity of the families of these map**s...
-
Article
On the Radius of Injectivity for Generalized Quasiisometries in the Spaces of Dimension Higher Than Two
We consider a class of local homeomorphisms more general than the map**s with bounded distortion. Under these homeomorphisms, the growth of the p-module (n−1 < p ≤ n) of the families of curves is controlled by ...
-
Article
Analog of the Montel Theorem for Map**s of the Sobolev Class with Finite Distortion
We study the classes of map**s with unbounded characteristic of quasiconformality and obtain a result on the normal families of open discrete map**s f : D→ ℂ \ {a, b} from the class W
-
Article
Normality of the Orlicz–Sobolev Classes
We establish a series of new criteria of equicontinuity and, hence, normality of the map**s of Orlicz–Sobolev classes in terms of inner dilatations.
-
Article
On the Removability of Isolated Singularities of Orlicz–Sobolev Classes with Branching
We study the local behavior of closed-open discrete map**s of the Orlicz–Sobolev classes in ...
-
Article
On the Local Behavior of Open Discrete Map**s from the Orlicz–Sobolev Classes
The paper is devoted to the study of map**s with unbounded characteristic of quasiconformality and, in particular, of map**s with finite distortion, which are now extensively studied. We establish theorems...
-
Article
On the Equicontinuity of Map**s with Branching in the Closure of the Domain
We study the problem of local behavior of map**s f : D → ...
