Families of domains with best possible hardy constantWe geometrically describe families of non-
convex plane and spatial domains in which the basic Hardy
Rellich type inequalities in domains of the Euclidean space inequalities for all non-
convex domains of dimension d ≥ 2 provided that the domains satisfy the exterior
Solution method for monotone mixed variational inequalities regularization and a descent technique over a gap (merit) function. The same uniformly
convex auxiliary function
Combinatorial optimization in foundry practice in the paper. The model is produced in terms of pseudo-Boolean
optimization theory. Different
A Note about Torsional Rigidity and Euclidean Moment of Inertia of Plane Domains about a circle. For
convex domains we show sharp isoperimetric inequalities, which justify
Bounds for Shannon and Zipf-Mandelbrot entropies use some
convex functions and manipulate the weights and domain of the functions and deduce results
Punishing factors and Chua's conjecture of the Poincaré metric of Ω at z and of ∏ at w, respectively. Then for any pair (Ω, ∏) where Ω is
convex, f ∈ A
Bifurcations and new uniqueness criteria for critical points of hyperbolic derivatives the Behnke-Peschl linear
convexity condition for Hartogs domains of special form. A specific rigidity effect