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Extremal functions for rooted minors

Journal of Graph Theory, 2008
AbstractThe graph G contains a graph H as a minor if there exist pairwise disjoint sets {Si ⊆ V(G)|i = 1,…,|V(H)|} such that for every i, G[Si] is a connected subgraph and for every edge uv in H, there exists an edge of G with one end in Su and the other end in Sv. A rooted H minor in G is a minor where each Si of the minor contains a predetermined xi ∈
openaire   +2 more sources

Extreme distribution functions of copulas

Kybernetika, 2008
Summary: We study some properties of the distribution function of the random variable \(C(X,Y)\) when the copula of the random pair \((X,Y)\) is \(M\) (respectively, \(W\)) -- the copula for which each of \(X\) and \(Y\) is almost surely an increasing (respectively, decreasing) function of the other -- and \(C\) is any copula.
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Some extremal problems for analytic functions

Complex Variables and Elliptic Equations, 1999
Arshak Petrosyan
exaly  

Improved Moser–Trudinger inequality of Tintarev type in dimension n and the existence of its extremal functions

Annals of Global Analysis and Geometry, 2018
Van Hoang Nguyen, Nguyen Văn Hoàng
exaly  

Sharp weighted Trudinger–Moser and Caffarelli–Kohn–Nirenberg inequalities and their extremal functions

Nonlinear Analysis: Theory, Methods & Applications, 2018
Nguyen Lam, Guozhen Lu
exaly  

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