Mappings of domains in and their metric tensors.
Mappings of finite distortion: Compactness.
Mappings of finite distortion: composition operator.
Mappings of finite distortion : discreteness and openness for quasi-light mappings
Mappings of finite distortion: formation of cusps.
In this paper we consider the extensions of quasiconformal mappings f: B → Ωs to the whole plane, when the domain Ωs is a domain with a cusp of degree s > 0 and thus not an quasidisc. While these mappings do not have quasiconformal extensions, they may have extensions that are homeomorphic mappings of finite distortion with an exponentially integrable distortion, but in such a case ∫2B exp(λK(x)) dx = ∞ for all λ > 1/s. Conversely, for a given s > 0 such a mapping is constructed...
Mappings of finite distortion: Global homeomorphism theorem.
Mappings of finite distortion: Removability of Cantor sets.
Mappings of finite distortion: sharp Orlicz-conditions.
We establish continuity, openness and discreteness, and the condition (N) for mappings of finite distortion under minimal integrability assumptions on the distortion.
Mappings of finite distortion: The zero set of the Jacobian
Mappings with bounded distortion on Heisenberg groups.
Mappings with dilatation in Orlicz spaces.
Mass functions of bounded variation and starlikeness
Mathematical problems of tomography and hyperbolic mappings.
Mathematical treatment for thermoelastic plate with a curvilinear hole in S-plane
The Cauchy integral method has been applied to derive exact and closed expressions for Goursat's functions for the first and second fundamental problems for an infinite thermoelastic plate weakened by a hole having arbitrary shape. The plate considered is conformally mapped to the area of the right half-plane. Many previous discussions of various authors can be considered as special cases of this work. The shape of the hole being an ellipse, a crescent, a triangle, or a cut having the shape of a...
Maximalschlichte Konkretisierung Riemannscher Flächen.
Meandering of trajectories of polynomial vector fields in the affine n-space.
We give an explicit upper bound for the number of isolated intersections between an integral curve of a polynomial vector field in Rn and an affine hyperplane.The problem turns out to be closely related to finding an explicit upper bound for the length of ascending chains of polynomial ideals spanned by consecutive derivatives.This exposition constitutes an extended abstract of a forthcoming paper: only the basic steps are outlined here, with all technical details being either completely omitted...
Mercerian Theorems Involving Cesàro Means of Positive Order.
Meromorphic functions with positive coefficients.
Meromorphic functions with positive coefficients defined using convolution.
Meromorphic starlike functions of order with alternating coefficients