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Morse theory indomitable [PDF]
Publications Mathematiques De L'Institut Des Hautes Etudes Scientifiques, 1988 This paper is a beautiful survey of the last fifty year's progress in Morse theory with milestones Thom, Smale, Witten and Floer. Starting with his own half-space approach which led him to the celebrated periodicity theorems, the author describes the birth of the Thom-Smale-Witten complex of descending cells of the function f: \(M\to {\mathbb{R ...
Raoul Bott
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Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Advances in Nonlinear Analysis, 2022 In this article, we study discrete Kirchhoff-type problems when the nonlinearity is resonant at both zero and infinity. We establish a series of results on the existence of nontrivial solutions by combining variational method with Morse theory.
Long Yuhua
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Equivariant discrete Morse theory
Discrete Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Heliyon, 2022 A number of interaction energy types are employed in the vibrations studies, especially in the spectroscopic analysis, such as the harmonic oscillator and Morse oscillator.
Marwan Al-Raeei
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Bulk modulus for Morse potential interaction with the distribution function based
Chemical Thermodynamics and Thermal Analysis, 2022 The bulk modulus is a significant coefficient for the study of the compressible behaviour of the materials in the bulk case. The bulk moduli can be determined via the experimental method by measuring of the elastic parameters, via the semi-empirical ...
Marwan Al-Raeei
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On the Morse–Novikov Cohomology of blowing up complex manifolds
Comptes Rendus. Mathématique, 2020 Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
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Morse potential specific heat with applications: an integral equations theory based
BMC Chemistry, 2022 The specific heat in its molar form or mass form is a significant thermal property in the study of the thermal capacity of the described system. There are two basic methods for the determination of the molar specific heat capacity, one of them is the ...
Marwan Al-Raeei
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Multiple solutions for a coercive quasilinear elliptic equation via Morse theory
Boundary Value Problems, 2021 We study the quasilinear elliptic problem which is resonant at zero. By using Morse theory, we obtain five nontrivial solutions for the equation with coercive nonlinearities.
Lifang Fu, Mingzheng Sun
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Multiple Periodic Solutions to Nonlinear Discrete Hamiltonian Systems
Advances in Difference Equations, 2007 An existence result of multiple periodic solutions to the asymptotically linear discrete Hamiltonian systems is obtained by using the Morse index theory.
Bo Zheng
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Morse theory for C*-algebras: a geometric interpretation of some noncommutative manifolds
Applied General Topology, 2011 The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. Some examples are given to illustrate these geometric information.
Vida Milani +2 more
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