Results 11 to 20 of about 73,971 (227)
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.
Manuel D. Contreras, Rafael Payá
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Weak upper semicontinuity of pullback attractors for nonautonomous reaction-diffusion equations
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We consider nonautonomous reaction-diffusion equations with variable exponents and large diffusion and we prove continuity of the flow and weak upper semicontinuity of a family of pullback attractors when the exponents go to $2$ in $L^\infty(\Omega)$.
Jacson Simsen
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Upper semicontinuity of random attractors for non-compact random dynamical systems [PDF]
Electronic Journal of Differential Equations, 2009 The upper semicontinuity of random attractors for non-compact random dynamical systems is proved when the union of all perturbed random attractors is precompact with probability one.
Bixiang Wang
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Monotonicity and upper semicontinuity [PDF]
Bulletin of the American Mathematical Society, 1976 M. B. Suryanarayana
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On the upper semicontinuity of a quasiconcave functional [PDF]
Journal of Functional Analysis, 2020 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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Existence of multiple solutions for a wide class of differential inclusions†
Mathematische Nachrichten, Volume 296, Issue 1, Page 152-163, January 2023., 2023 Abstract We give a unified approach to study the existence of multiple positive solutions of nonlinear differential inclusions of the form −u′′(t)∈F(t,u(t)),a.e.t∈(0,1),$$\begin{equation*}\hskip7pc -u^{\prime \prime }(t)\in F(t,u(t)),\; \text{a.e.} \; t \in (0,1), \end{equation*}$$subject to various nonlocal boundary conditions. We study these problems
Filomena Cianciaruso +1 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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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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Upper Semicontinuous Extensions of Binary Relations [PDF]
SSRN Electronic Journal, 2002 Abstract Suzumura [Economica 43 (1976) 381] has shown that a binary relation has a weak order extension if and only if it is consistent. However, consistency is demonstrably not sufficient to extend an upper semicontinuous binary relation to an upper semicontinuous weak order.
Kotaro Suzumura +3 more
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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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