Results 51 to 60 of about 336 (182)
Lower semicontinuity, almost lower semicontinuity, and continuous selections for set-valued mappings
Journal of Approximation Theory, 1988 Let X be a paracompact space, Y a normed vector space and \(2^ Y\) the collection of all non-empty subsets of Y. A function f: \(X\to 2^ Y\) is called a set-valued mapping. The relationships between lower semicontinuity, almost lower semicontinuity and the existence of various kinds of continuous selections for such a mapping are studied. For the cases
Deutsch, Frank +2 more
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Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
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Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer +2 more
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LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM
Tạp chí Khoa học Đại học Đà Lạt, 2012 This paper studies the solution stability of a parametric optimal control problem with linear state equation, control constraints and convex cost functions.
Bùi Trọng Kiên +3 more
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Postulation of schemes of length at most 4 on surfaces
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract In this paper, we address the postulation problem of zero‐dimensional schemes of length at most 4 on a surface. We prove some general results and then we focus on the case of P2$\mathbb {P}^2$, P1×P1$\mathbb {P}^1\times \mathbb {P}^1$ and Hirzebruch surfaces. In particular, we prove that except for few well‐known exceptions, a general union of
Edoardo Ballico, Stefano Canino
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Nonlocal Variational Principles with Variable Growth
Journal of Function Spaces, 2014 This paper is concerned with the functional J defined by J(u)=∫Ω×ΩW(x,y,∇u(x),∇u(y))dx dy, where Ω⊂ℝN is a regular open bounded set and W is a real-valued function with variable growth.
Yongqiang Fu, Miaomiao Yang
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The motive of the Hilbert scheme of points in all dimensions
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract We prove a closed formula for the generating series Zd(t)$\mathsf {Z}_d(t)$ of the motives [Hilbd(An)0]$[\operatorname{Hilb}^d({\mathbb {A}}^n)_0]$ in K0(VarC)$K_0(\operatorname{Var}_{{\mathbb {C}}})$ of punctual Hilbert schemes, summing over n$n$, for fixed d>0$d>0$.
Michele Graffeo +3 more
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On Lower Semicontinuity and Metric Upper Semicontinuity of Nemytskii Set-Valued Operators
Zeitschrift für Analysis und ihre Anwendungen, 1994 Sufficient conditions of lower semicontinuity and metric upper semicontinuity of Nemytskii set-valued operators N_F generated by a set-valued function F: \Omega \times X \to 2^Y
Rolewicz, S., Wen, Song
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Dissipative energy functionals of passive linear time‐varying systems
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.Abstract The concept of dissipativity plays a crucial role in the analysis of control systems. Dissipative energy functionals, also known as Hamiltonians, storage functions, or Lyapunov functions, depending on the setting, are extremely valuable to analyze and control the behavior of dynamical systems, but in general circumstances they are very ...
Riccardo Morandin, Dorothea Hinsen
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Debt Ceilings With Fiscal Intransparency and Imperfect Electoral Accountability
International Economic Review, Volume 67, Issue 1, Page 97-125, February 2026.ABSTRACT We study optimal debt ceilings in a political‐agency model with uncertainty about both policymaker type (benevolent or selfish) and economic state (good or bad). Elections generate disciplining and selection effects that differ across pooling, hybrid, and separating equilibria induced by different ceilings.
Randolph Sloof +2 more
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