Results 41 to 50 of about 205,497 (296)

Periodic solutions of second order Hamiltonian systems with nonlinearity of general linear growth

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper we consider a class of second order Hamiltonian system with the nonlinearity of linear growth. Compared with the existing results, we do not assume an asymptotic of the nonlinearity at infinity to exist. Moreover, we allow the system to be
Guanggang Liu
doaj   +1 more source

Morse Inequalities for Orbifold Cohomology

, 2007
This paper begins the study of Morse theory for orbifolds, or more precisely for differentiable Deligne-Mumford stacks. The main result is an analogue of the Morse inequalities that relates the orbifold Betti numbers of an almost-complex orbifold to the ...
Abramovich, Adem, Banyaga, Chen, Heinloth, Hirsch, Joyce, Milnor, Moerdijk, Nicolaescu, Pronk, Richard Hepworth, Ruan   +12 more
core   +1 more source

Smoothing, scattering and a conjecture of Fukaya

Forum of Mathematics, Pi
In 2002, Fukaya [19] proposed a remarkable explanation of mirror symmetry detailing the Strominger–Yau–Zaslow (SYZ) conjecture [47] by introducing two correspondences: one between the theory of pseudo-holomorphic curves on a Calabi–Yau manifold ...
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma   +2 more
doaj   +1 more source

Morse theory on G-manifolds

Topology and its Applications, 2002
AbstractLet G be a finite group and M be a compact G-manifold on which the G-action is semifree. For a specific local coefficient system we show that the Bredon cohomology of M can be expressed in terms of the classical equivariant cohomology of the fixed point sets. Using this we define Morse polynomial for an equivariant Morse function f defined on M.
Mahuya Datta, Neeta Pandey
openalex   +3 more sources

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   +1 more source

Voiceless: Division, Distrust and Discrimination at the 2023 Voice Referendum

Australian Journal of Social Issues, EarlyView.
ABSTRACT The referendum on the Aboriginal and Torres Strait Islander Voice to Parliament in Australia resulted in defeat for the Yes case on October 14, 2023, by a margin of 40% to 60%. The referendum proposed a constitutional amendment to establish a representative body made up of Indigenous Australians to advise federal parliament on matters ...
Shaun Wilson, Shaun Ratcliff
wiley   +1 more source

Existence of nontrivial solutions for semilinear problems with strictly differentiable nonlinearity

Abstract and Applied Analysis, 2006
The existence of a nontrivial solution for semilinear elliptic problems with strictly differentiable nonlinearity is proved. A result of homological linking under nonstandard geometrical assumption is also shown. Techniques of Morse theory are employed.
Sergio Lancelotti
doaj   +2 more sources

In‐Depth Analysis of the Origin of Enhanced Ionic Conductivity of Halide‐Based Solid‐State Electrolyte by Anion Site Substitution

Batteries &Supercaps, EarlyView.
The effect of sulfur doping on Li2ZrCl6 is systematically investigated. The formation of biphasic mixtures is confirmed by neutron and X‐ray diffraction studies. The presence of dual anion doping shows improved ionic conductivity of 0.64 mS cm−1. The transition from 1D to 2D pathway (confirmed by density functional theory (DFT)) is beneficial in ...
Priya Ganesan, Ramon Zimmermanns, Jianneng Liang, Yang Hu, Gabriel J. Cuello, Inés Puente Orench, Sebastian Baumgart, Mohsen Sotoudeh, Axel Groß, Thomas Diemant, Alberto Varzi, Maximilian Fichtner   +11 more
wiley   +1 more source

A Neophyte's Journey through Qualitative Analysis Using Morse's Cognitive Processes of Analysis

International Journal of Qualitative Methods, 2008
: In the early stages of her master's thesis the author became increasingly concerned about how she would analyze the data for her planned critical interpretive study. She felt that she needed clear direction about the process of qualitative analysis but
Rachel Walker RN, BA, BN, MN, Marie Cooke RN, DAppSc, BAppSc, MSPD, PhD, Margaret McAllister RN, RPN, DipAppSci-Nurs, BA, MEd, EdD   +2 more
doaj   +1 more source

A Morse Theory for Massive Particles and Photons in General Relativity

, 1999
In this paper we develop a Morse Theory for timelike geodesics parameterized by a constant multiple of proper time. The results are obtained using an extension to the timelike case of the relativistic Fermat Principle, and techniques from Global Analysis
Antonio Masiello, Ekeland, Fabio Giannoni, Giannoni, Giannoni, Helfer, Kovner, Lombardi, Palais, Paolo Piccione, Perlick, Petters, Petters   +12 more
core   +1 more source