Results 11 to 20 of about 216,921 (319)
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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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 ...
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Examples for the Infinite Dimensional Morse Lemma [PDF]
, 1983 Examples are presented which show how to use the Morse lemma in specific infinite dimensional examples and what can go wrong if various hypotheses are dropped.
Buchner, Michael +2 more
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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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Resonant problems for non-local elliptic operators with unbounded nonlinearites
Electronic Research Archive, 2023 In this paper we study the existence of nontrivial solutions of a class of asymptotically resonant problems driven by a non-local integro-differential operator with homogeneous Dirichlet boundary conditions by applying Morse theory and critical groups ...
Yutong Chen, Jiabao Su
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Functoriality and duality in Morse-Conley-Floer homology [PDF]
, 2014 In~\cite{rotvandervorst} a homology theory --Morse-Conley-Floer homology-- for isolated invariant sets of arbitrary flows on finite dimensional manifolds is developed. In this paper we investigate functoriality and duality of this homology theory.
Rot, T. O., Vandervorst, R. C. A. M.
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Results on multiple nontrivial solutions to partial difference equations
AIMS Mathematics, 2023 In this paper, we consider the existence and multiplicity of nontrivial solutions to second order partial difference equation with Dirichlet boundary conditions by Morse theory.
Huan Zhang , Yin Zhou, Yuhua Long
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Multiple periodic solutions of nonlinear second order differential equations
AIMS Mathematics, 2023 In this paper, we are interested in the existence of multiple nontrivial $ T $-periodic solutions of the nonlinear second ordinary differential equation $ \ddot{x}+V_x(t, x) = 0 $ in $ N(\geq 1) $ dimensions.
Keqiang Li, Shangjiu Wang
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Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems
Electronic Research Archive, 2022 In this paper, we study discrete elliptic Dirichlet problems. Applying a variational technique together with Morse theory, we establish several results on the existence and multiplicity of nontrivial solutions.
Yuhua Long, Huan Zhang
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Research on P System with Chain Structure and Application and Simulation in Arithmetic Operation
Discrete Dynamics in Nature and Society, 2015 Considering the advantages of distribution and maximum parallelism of membrane computing and availability of discrete Morse theory to deal with discrete structure, in this paper, combining discrete Morse theory and membrane computing, a novel membrane ...
Jing Luan, Zhong Yao
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