Results 1 to 10 of about 32 (32)
Controlled Reeb dynamics — Three lectures not in Cala Gonone
Complex Manifolds, 2019 These are notes based on a mini-course at the conference RIEMain in Contact, held in Cagliari, Sardinia, in June 2018. The main theme is the connection between Reeb dynamics and topology.
Geiges Hansjörg
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The Multiplicity Problem for Periodic Orbits of Magnetic Flows on the 2-Sphere
Advanced Nonlinear Studies, 2017 We consider magnetic Tonelli Hamiltonian systems on the cotangent bundle of the 2-sphere, where the magnetic form is not necessarily exact. It is known that, on very low and on high energy levels, these systems may have only finitely many periodic orbits.
Abbondandolo Alberto +4 more
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Existence of periodic solutions with prescribed minimal period of a 2nth-order discrete system
Open Mathematics, 2019 In this paper, we concern with a 2nth-order discrete system. Using the critical point theory, we establish various sets of sufficient conditions for the existence of periodic solutions with prescribed minimal period. To the best of our knowledge, this is
Liu Xia, Zhou Tao, Shi Haiping
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Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
Open Mathematics, 2016 By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation.
Long Yuhua, Zhang Yuanbiao, Shi Haiping
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Multiplicity of homoclinic orbits in quasi-linear autonomous Lagrangian systems [PDF]
, 2020 The existence of at least two homoclinic orbits is proved by A. Ambrosetti and V. Coti Zelati (Multiple homoclinic orbits for a class of conservative systems, Rend. Sem. Mat. Univ.
B Buffoni, L Landry
core
Advanced Nonlinear Studies, 2018 Let n≥2{n\geq 2} be an integer, P=diag(-In-κ,Iκ,-In-κ,Iκ){P=\mathrm{diag}(-I_{n-\kappa},I_{\kappa},-I_{n-\kappa},I_{\kappa})} for some integer κ∈[0,n]{\kappa\in[0,n]}, and let Σ⊂ℝ2n{\Sigma\subset{\mathbb{R}}^{2n}} be a partially symmetric compact ...
Liu Hui, Zhu Gaosheng
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Homoclinics for singular strong force Lagrangian systems
Advances in Nonlinear Analysis, 2019 We study the existence of homoclinic solutions for a class of Lagrangian systems ddt$\begin{array}{} \frac{d}{dt} \end{array} $(∇Φ(u̇(t))) + ∇uV(t, u(t)) = 0, where t ∈ ℝ, Φ : ℝ2 → [0, ∞) is a G-function in the sense of Trudinger, V : ℝ × (ℝ2 ∖ {ξ}) → ℝ ...
Izydorek Marek +2 more
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Existence and multiplicity results for non-autonomous second-order Hamiltonian systems
Advances in Nonlinear AnalysisIn this article, using the least action principle and minimax methods in critical point theory, some existence and multiplicity results for periodic solutions of second-order Hamiltonian systems are obtained.
Liu Chungen, Zhong Yuyou
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Open MathematicsIn this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
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Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
Boundary Value Problems, 2011 Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.
Zhang Jihui, Wang Zhiyong
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