Results 11 to 20 of about 11,388 (241)
Upper Semicontinuity of Attractors and Synchronization
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Alexandre N. Carvalho+2 more
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Upper semicontinuity of the lamination hull [PDF]
Let K ⊆ ℝ2×2 be a compact set, let Krc be its rank-one convex hull, and let L (K) be its lamination convex hull. It is shown that the mapping K ↦ L̅(K̅) is not upper semicontinuous on the diagonal matrices in ℝ2×2, which was a problem left by Kolář. This is followed by an example of a 5-point set of 2 × 2 symmetric matrices with non-compact lamination
Terence L. J. Harris
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Upper semicontinuity of Nemytskij operators [PDF]
The authors give a growth condition on a multivalued nonlinear function \(G=G(\lambda,u)\), under which the upper semicontinuity of the function \(G(\lambda,\cdot)\) implies the upper semicontinuity of the multivalued Nemytskij operator generated by \(G\) between two Lebesgue-Bochner spaces. Similar results have been given by the reviewer, \textit{H. T.
Arrigo Cellina+2 more
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Monotonicity and upper semicontinuity [PDF]
M. B. Suryanarayana
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On the upper semicontinuity of the Wu metric [PDF]
We discuss continuity and upper semicontinuity of the Wu pseudometric.
Marek Jarnicki, Peter Pflug
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Subharmonicity without Upper Semicontinuity
Let \(\Omega\subseteq \mathbb{R}^d\) be open and let \(x\in\Omega\). There are many probability measures \(\mu\) with compact support in \(\Omega\) which have the following property: \(u(x)\leq\int u d\mu\) for every subharmonic function \(u\) on \(\Omega\). (Such a measure is called a Jensen measure for \(x\).) Familiar examples are normalized surface
Brian J. Cole, Thomas Ransford
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On upper semicontinuity of duality mappings [PDF]
We give new sufficient conditions for a Banach space to be an Asplund (or reflexive) space in terms of certain upper semicontinuity of the duality mapping.
Manuel D. Contreras, Rafael Payá
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On the upper semicontinuity of a quasiconcave functional [PDF]
In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}{n-1}}\,dx$ defined on the space of $p$-summable positive definite matrices with zero divergence. We prove that this implies the weak upper semicontinuity of the functional $\
De Rosa L., Serre D., Tione R.
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On structure of upper semicontinuity
AbstractThe refinement of a Choquet theorem on (strong) upper semi-continuity and its relation to the Vainstein lemma are dealt with here. Relevance of subcontinuity is discussed. Consequently, an improvement of a characterization theorem of Dolecki and Rolewicz is achieved.
Szymon Dolecki, Alojzy Lechicki
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Upper Semicontinuous Extensions of Binary Relations [PDF]
The notion of consistency in binary relations is considered. The authors provide sufficient conditions for the existence of upper semicontinuous extensions of consistent rather than transitive relations. For asymmetric relations, consistency and upper semicontinuity suffice.
Kotaro Suzumura+3 more
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