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Upper Semicontinuity of Pullback Attractors for the 3D Nonautonomous Benjamin-Bona-Mahony Equations [PDF]
The Scientific World Journal, 2014 We will study the upper semicontinuity of pullback attractors for the 3D nonautonomouss Benjamin-Bona-Mahony equations with external force perturbation terms. Under some regular assumptions, we can prove the pullback attractors 𝒜ε(t) of equation ut-Δut-
Xinguang Yang +3 more
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Advances in Difference Equations, 2021 In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ν and the nonlinear term f satisfying the polynomial growth of arbitrary order p − 1 $p-1$ ( p ≥ 2 $p ...
Yongqin Xie, Jun Li, Kaixuan Zhu
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Upper Semicontinuous Extensions of Binary Relations [PDF]
SSRN Electronic Journal, 2002 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.
BOSSERT, Walter +2 more
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The stability of minimal solution sets for set optimization problems via improvement sets
Journal of Inequalities and Applications, 2023 In this paper we investigate the stability of solution sets for set optimization problems via improvement sets. Some sufficient conditions for the upper semicontinuity, lower semicontinuity, and compactness of E-minimal solution mappings are given for ...
Taiyong Li, Yanhui Wei
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On upper semicontinuity of duality mappings [PDF]
Proceedings of the American Mathematical Society, 1994 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.
Contreras, Manuel D., Payá, Rafael
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Semicontinuity and closedness of parametric generalized lexicographic quasiequilibrium problems
Journal of Inequalities and Applications, 2016 This paper is mainly concerned with the upper semicontinuity, closedness, and the lower semicontinuity of the set-valued solution mapping for a parametric lexicographic equilibrium problem where both two constraint maps and the objective bifunction ...
Rabian Wangkeeree +2 more
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Subharmonicity without Upper Semicontinuity
Journal of Functional Analysis, 1997 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
Cole, B.J, Ransford, T.J
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Upper semicontinuous differential inclusions without convexity [PDF]
Proceedings of the American Mathematical Society, 1989 We prove existence of solutions to the Cauchy problem for the differential inclusion x ˙ ∈ A ( x ) \dot x \in A(x) , when A A is cyclically monotone and upper semi-continuous.
A. Bressan +2 more
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Concerning Upper Semicontinuous Decompositions of Irreducible Continua [PDF]
Proceedings of the American Mathematical Society, 1971 Let K \mathcal {K} denote the class of all compact metric continua K such that there exists a monotone mapping from a compact metric irreducible continuum M onto an arc such that each point inverse is homeomorphic to K. It is shown that no connected 1-polyhedron other than an arc is an element of K
Transue, W. R. R. +2 more
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Characteristic cycles and Gevrey series solutions of $A$-hypergeometric systems [PDF]
, 2019 We compute the $L$-characteristic cycle of an $A$-hypergeometric system and higher Euler-Koszul homology modules of the toric ring. We also prove upper semicontinuity results about the multiplicities in these cycles and apply our results to analyze the ...
Berkesch, Christine +1 more
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