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Critical Point Theorems for Nonlinear Dynamical Systems and Their Applications [PDF]
Fixed Point Theory and Applications, 2010 We present some new critical point theorems for nonlinear dynamical systems which are generalizations of Dancš-Hegedüs-Medvegyev's principle in uniform spaces and metric spaces by applying an abstract maximal element principle established ...
Wei-Shih Du
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Advanced Nonlinear Studies, 2020 In this paper we establish a new critical point theorem for a class of perturbed differentiable functionals without satisfying the Palais–Smale condition.
Bahrouni Anouar +2 more
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Role of Noether’s Theorem at the Deconfined Quantum Critical Point [PDF]
Physical Review Letters, 2019 Noether's theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Here we explore the role of Noether's theorem at the deconfined quantum critical point (DQCP), which is a quantum phase transition beyond the Landau-Ginzburg-Wilson paradigm.
Nvsen, Ma, Yi-Zhuang, You, Zi Yang, Meng
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Multiplicity of solutions for the discrete boundary value problem involving the p-Laplacian [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – The purpose of this paper is the study of existence and multiplicity of solutions for a nonlinear discrete boundary value problems involving the p-laplacian.
Abdelrachid El Amrouss, Omar Hammouti
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On the place of sonic points in a critical flow [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 Stationary irrotational barotropic gas flows are investigated on the basis of the analysis of three-dimensional Euler equations. Critical flows in the article are those in which the Mach number is everywhere less than or equal to one, and at least at one
Aleksandr I. Besportochny +1 more
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Axioms, 2021 In this paper, by applying the abstract maximal element principle of Lin and Du, we present some new existence theorems related with critical point theorem, maximal element theorem, generalized Ekeland’s variational principle and common (fuzzy) fixed ...
Junjian Zhao, Wei-Shih Du
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International Journal of Mathematics and Mathematical Sciences, 2002 Let H be a Hilbert space such that H = V ⊕ W, where V and W are two closed subspaces of H. We generalize an abstract theorem due to Lazer et al. (1975) and a theorem given by Moussaoui (1990‐1991) to the case where V and W are not necessarily finite dimensional.
HAFIDA BOUKHRISSE +1 more
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On a new critical point theorem and some applications to discrete equations [PDF]
Opuscula Mathematica, 2014 Using the Fenchel-Young duality we derive a new critical point theorem. We illustrate our results with solvability for certain discrete BVP. Multiple solutions are also considered.
Marek Galewski, Elżbieta Galewska
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Critical type of Krasnosel’skii fixed point theorem [PDF]
Proceedings of the American Mathematical Society, 2011 Let \(K\) be a nonempty bounded closed convex subset of a Banach space \(E\). A unified approach to the classical Schauder's and Banach-Caccioppoli's fixed point theorems was given by \textit{M. A. Krasnosel'skij} [Usp. Mat. Nauk 10, No.~1(63), 123--127 (1955; Zbl 0064.12002)] who proved that the sum \(S+T \) of two operators \(S,T:K \rightarrow E ...
Xiang, Tian, Yuan, Rong
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Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model
npj Quantum Materials, 2023 The Mermin-Wagner theorem states that spontaneous continuous symmetry breaking is prohibited in systems with short-range interactions at spatial dimension D ≤ 2.
Jiarui Zhao +4 more
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