Embedded minimal surfaces derived from Scherk's Examples.
Estimates of the parameters of conformal mappings associated with a periodic Jacobi matrix.
Extension of internally bilipschitz maps in John disks.
Extremal length and Hölder continuity of conformal mappings.
Extremal problems in the class of close-to-convex functions
Extremalpunkte und konforme Abbildung.
Extreme points of subordination and weak subordination families of harmonic mappings
The aim of the paper is to discuss the extreme points of subordination and weak subordination families of harmonic mappings. Several necessary conditions and sufficient conditions for harmonic mappings to be extreme points of the corresponding families are established.
Funciones asociadas a un conjunto del plano complejo.
Fundamental problems for a weakened infinite plate by a curvilinear hole in a half-plane.
Fundamental problems for infinite plate with a curvilinear hole having finite poles.
Further studies of fully developed flow through ducts of arbitrary section by the contour line-conformal mapping technique.
Gromov hyperbolicity of certain conformal invariant metrics.
Higher order Schwarzian derivatives in interval dynamics
We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives positive up...
Injectivity of sections of convex harmonic mappings and convolution theorems
We consider the class of sense-preserving harmonic functions defined in the unit disk and normalized so that and , where and are analytic in the unit disk. In the first part of the article we present two classes and of functions from and show that if and , then the harmonic convolution is a univalent and close-to-convex harmonic function in the unit disk provided certain conditions for parameters and are satisfied. In the second part we study the harmonic sections (partial...
Integralgleichungen erster Art und konformer Abbildung.
Justification of the method of approximation of solutions to contact problems of filtration theory.
Level sets of univalent functions.
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...
Mercerian Theorems Involving Cesàro Means of Positive Order.