Results 11 to 20 of about 1,955 (244)
The Existence and Application of Unbounded Connected Components [PDF]
Let X be a Banach space and Cn a family of connected subsets of R×X. We prove the existence of unbounded components in superior limit of {Cn}, denoted by lim¯ Cn, which have prescribed shapes.
Ruyun Ma, Hua Luo
core +2 more sources
The structure of normal subsets of polyhedral cone
The structure of normal convex subsets of polyhedral cone K in normalized space is in investigated. The normality of the subset Ω ⊂ K (in the sense of the cone K) is determined by the condition Ω - K ∩K = Ω (a line over a set means taking a topological ...
T.Kh. Makazhanova +2 more
core +3 more sources
Connectedness of Solution Sets for Weak Vector Variational Inequalities on Unbounded Closed Convex Sets [PDF]
We study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone.
Yun-liang Wang +2 more
core +2 more sources
On κ-like structures which embed stationary and closed unbounded subsets
James H Schmerl
exaly +2 more sources
On the VC-dimension of half-spaces with respect to convex sets [PDF]
A family S of convex sets in the plane defines a hypergraph H = (S, E) as follows. Every subfamily S' of S defines a hyperedge of H if and only if there exists a halfspace h that fully contains S' , and no other set of S is fully contained in h.
Nicolas Grelier +3 more
doaj +1 more source
Second-order elliptic equations of Cordes type in unbounded open subsets in R^n.
In this paper we study the Dirichlet problem for linear second order elliptic partial differential equations of Cordes type in unbounded domains. We obtain some existence and uniqueness results.
TRANSIRICO, Maria, TROISI, Mario
openaire +2 more sources
In this paper we study the Dirichlet problem for second order, linear elliptic partial differential equations in divergence form with discontinuous coefficients in unbounded domains. We obtain conditions for the Fredholm alternative and conditions for uniqueness of the solution.
TRANSIRICO, Maria, TROISI, Mario
openaire +2 more sources
On the Moment Problem and Related Problems
Firstly, we recall the classical moment problem and some basic results related to it. By its formulation, this is an inverse problem: being given a sequence (yj)j∈ℕn of real numbers and a closed subset F⊆ℝn, n∈{1,2,…}, find a positive regular Borel ...
Octav Olteanu
doaj +1 more source
As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
doaj +1 more source
Closeness and linkness in balleans
A set $X$ endowed with a coarse structure is called ballean or coarse space. For a ballean $(X, \mathcal{E})$, we say that two subsets $A$, $B$ of $X$ are close (linked) if there exists an entourage $E\in \mathcal{E}$ such that $A\subseteq E [B]$, $B ...
I.V. Protasov, K. Protasova
doaj +1 more source

