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.
Curvature and Functions with Bounded Boundary Rotation.