On folding solutions of the Beltrami equation.
On geometric convergence of discrete groups
One of the basic questions in the Kleinian group theory is to understand both algebraic and geometric limiting behavior of sequences of discrete subgroups. In this paper we consider the geometric convergence in the setting of the isometric group of the real or complex hyperbolic space. It is known that if is a non-elementary finitely generated group and a sequence of discrete and faithful representations, then the geometric limit of is a discrete subgroup of . We generalize this result by...
On Hölder regularity for elliptic equations of non-divergence type in the plane
This paper is concerned with strong solutions of uniformly elliptic equations of non-divergence type in the plane. First, we use the notion of quasiregular gradient mappings to improve Morrey’s theorem on the Hölder continuity of gradients of solutions. Then we show that the Gilbarg-Serrin equation does not produce the optimal Hölder exponent in the considered class of equations. Finally, we propose a conjecture for the best possible exponent and prove it under an additional restriction.
On isomorphisms of geometrically finite Möbius groups
On Parametric Representation for Quasisymmetric Frunctions.
On planar Beltrami equations and Hölder regularity.
On Pommerenke's inequality for the eigenvalues of fixed points
On quasiconformal mappings of open Riemann surfaces.
On quasiconformal reflection. (Zur quasikonformen Spiegelung.)
On Quasiregualr Mappings and Domains with a Complete Conformal Metric.
On quasiregular polynomial mappings
On Solutions of the Beltrami Equation (2)
On Spaces of Kleinian Groups
On s-sets and mutual absolute continuity of measures on homogeneous spaces.
On Teichmüller's modulus problem in R...
On the boundary behaviour of automorphisms of a ball with growing coefficient of quasiconformality
On the Boundary Derivative for Univalent Functions.
On the complexification of real-analytic polynomial mappings of ℝ²
We give a simple algebraic condition on the leading homogeneous term of a polynomial mapping from ℝ² into ℝ² which is equivalent to the fact that the complexification of this mapping can be extended to a polynomial endomorphism of ℂℙ². We also prove that this extension acts on ℂℙ²∖ℂ² as a quotient of finite Blaschke products.
On the continuation of quasiisometric mappings.
On the convergence of Laplace-Beltrami operators associated to quasiregular mappings