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A geometric description of domains whose Hardy constant is equal to 1/4 geometric description of families of non-convex planar and spatial domains in which the following Hardy

Families of domains with best possible hardy constantWe geometrically describe families of non-convex plane and spatial domains in which the basic Hardy

Duality for equilibrium problems under generalized monotonicity and primal-dual relationships are established under certain generalized convexity and generalized

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

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

A Theorem on Strict Separability of Convex Polyhedra and Its Applications in OptimizationWe propose a new approach to the strict separation of convex polyhedra. This approach is based

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