Results 21 to 30 of about 216,921 (319)
Multiple Solutions for Biharmonic Equations with Asymptotically Linear Nonlinearities
Boundary Value Problems, 2010 The existence of multiple solutions for a class of fourth elliptic equation with respect to the resonance and nonresonance conditions is established by using the minimax method and Morse theory.
Ruichang Pei
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Existence and Multiplicity of Solutions for Discrete Nonlinear Two-Point Boundary Value Problems
Discrete Dynamics in Nature and Society, 2011 By using Morse theory, the critical point theory, and the character of 𝐾1/2, we consider the existence and multiplicity results of solutions to the following discrete nonlinear two-point boundary value problem −Δ2𝑥(𝑘−1)=𝑓(𝑘,𝑥(𝑘)),𝑘∈ℤ(1,𝑇) subject to 𝑥(0)=
Jianmin Guo, Caixia Guo
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A Morse index theorem for elliptic operators on bounded domains [PDF]
, 2015 Given a selfadjoint, elliptic operator $L$, one would like to know how the spectrum changes as the spatial domain $\Omega \subset \mathbb{R}^d$ is deformed.
Cox, Graham +2 more
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International Journal of Mathematics and Mathematical Sciences, 1990 A simple proof of a theorem of H. Hopf [1], via Morse theory, is given.
Takis Sakkalis
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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 +12 more
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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
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Higgs bundles for M-theory on G 2-manifolds
Journal of High Energy Physics, 2019 M-theory compactified on G 2-holonomy manifolds results in 4d N $$ \mathcal{N} $$ = 1 supersymmetric gauge theories coupled to gravity. In this paper we focus on the gauge sector of such compactifications by studying the Higgs bundle obtained from a ...
Andreas P. Braun +3 more
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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 +12 more
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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
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Smoothing, scattering and a conjecture of Fukaya
Forum of Mathematics, PiIn 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 +2 more
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