Results 11 to 20 of about 7,199 (257)
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Prescribing Morse Scalar Curvatures: Pinching and Morse Theory [PDF]
Communications on Pure and Applied Mathematics, 2021 AbstractWe consider the problem of prescribing conformally the scalar curvature on compact manifolds of positive Yamabe class in dimension . We prove new existence results using Morse theory and some analysis on blowing‐up solutions under suitable pinching conditions on the curvature function.
Malchiodi, Andrea, Mayer, Martin
openaire +3 more sources
Morse Theory without Non-Degeneracy [PDF]
The Quarterly Journal of Mathematics, 2021 AbstractWe describe an extension of Morse theory to smooth functions on compact Riemannian manifolds, without any non-degeneracy assumptions except that the critical locus must have only finitely many connected components.
Kirwan, F, Penington, G
openaire +4 more sources
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
doaj +1 more source
Morse theory indomitable [PDF]
Publications mathématiques de l'IHÉS, 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 ...
openaire +1 more source
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
doaj +2 more sources