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Extremality of convex sets with some applicationsIn this paper we introduce an enhanced notion of extremal systems for sets in locally convex
Families of domains with best possible hardy constantWe geometrically describe families of non-convex plane and spatial domains in which the basic Hardy
Unified poincaré and hardy inequalities with sharp constants for convex domainsLet Ω be an n-dimensional convex domain, and let v ∈ [0,1/2]. For all f ∈ H0 1(Ω) we prove
Subharmonic Functions on Complex Hyperplanes of CnIn this paper is considered a class of m−wsh functions defined with relation ddcu ^ (ddc|z|2)n
Hölder continuity of weak solutions of p-Laplacian PDEs with VMO coefficientsWe consider solutions u∈W 1,p (Ω;R N ) of the p-Laplacian PDE ∇⋅(a(x)|Du| p−2 Du)=0,for x∈Ω⊆R n
On the Distribution of the Stationary Point of Significance Level for Empirical Distribution FunctionWe consider empirical distribution functions of nonstationary time-series, depending on set length
Method for Obtaining Combinatorial Identities with Polynomial Coefficients by Means of Integral Representations of an
integral representation of holomorphic functions in an n-circular linearly convex polyhedron.
A note on definition of matrix convex functionsWe prove that a real-valued function f defined on an interval S in R is matrix convex if and only
Equilibrium price as a coincidence point of two mappingsThe existence of an equilibrium price vector in a nonlinear market model is analyzed. In the model
Covering of nonlinear maps on a cone in neighborhoods of irregular pointsInverse function theorems for smooth nonlinear maps defined on convex cones in Banach spaces in a
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