A distortion theorem for bounded univalent functions.
A note on solutions of Schiffer's differential equation.
A variational method for a class of odd functions in an annulus
A variational method for univalent functions connected with antigraphy
The paper is devoted to a class of functions analytic and univalent in the unit disk that are connected with an antigraphy . Variational formulas and Grunsky inequalities are derived. As an application there are given some estimations in the considered class of functions.
Accumulation constants of iterated function systems with Bloch target domains.
Admissible variations and the local maximum theorems for pairs of vector functions and for generalized Bieberbach-Eilenberg, bounded and Grunsky-Shah functions
Amenability, Poincaré series and quasiconformal maps.
An application of differential subordinations, II
An extension of typically-real functions and associated orthogonal polynomials
Two-parameters extension of the family of typically-real functions is studied. The definition is obtained by the Stjeltjes integral formula. The kernel function in this definition serves as a generating function for some family of orthogonal polynomials generalizing Chebyshev polynomials of the second kind. The results of this paper concern the exact region of local univalence, bounds for the radius of univalence, the coefficient problems within the considered family as well as the basic properties...
An extremal problem for harmonic measure.
An isoperimetric inequality for logarithmic capacity.
Asymptotic estimates and properties of univalent functions with quasiconformal continuation.
Asymptotic estimates for the coefficients of bounded univalent functions.
Blow-up of solutions to a periodic nonlinear dispersive rod equation.
Capacity relations in a flat quadrilateral.
Coefficient inequalities and maximalization of some functionals for pairs of vector functions
Complex calculus of variations
In this article, we present a detailed study of the complex calculus of variations introduced in [M. Gondran: Calcul des variations complexe et solutions explicites d’équations d’Hamilton–Jacobi complexes. C.R. Acad. Sci., Paris 2001, t. 332, série I]. This calculus is analogous to the conventional calculus of variations, but is applied here to functions in . It is based on new concepts involving the minimum and convexity of a complex function. Such an approach allows us to propose explicit solutions...
Conformal mappings and the Plateau-Douglas problem in Riemannian manifolds.
Conformal welding of Jordan curves using weighted Dirichlet spaces.
Covering of radial segments for domains bounded by -circles.