Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems
DOI10.1016/j.jmaa.2022.126715OpenAlexW4296887844MaRDI QIDQ2091030
Xueting Chen, Huafeng Xiao, Wiesław Krawcewicz
Publication date: 31 October 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126715
Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Related Items (1)
Cites Work
- Semi-classical limits of ground states of a nonlinear Dirac equation
- On superlinear Schrödinger equations with periodic potential
- Ground states of time-harmonic semilinear Maxwell equations in \(\mathbb R^3\) with vanishing permittivity
- Ground state solutions for Hamiltonian elliptic system with inverse square potential
- Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0
- Ground state solutions for some indefinite variational problems
- Variational methods for potential operator equations: with applications to nonlinear elliptic equations
- On the variational principle
- Ground states and multiple solutions for Choquard-Pekar equations with indefinite potential and general nonlinearity
- Ground state solutions for a class of elliptic Dirichlet problems involving the \(p(x)\)-Laplacian
- Periodic solutions with prescribed minimal period to Hamiltonian systems
- Existence and decay property of ground state solutions for Hamiltonian elliptic system
- Non-Nehari manifold method for Hamiltonian elliptic system with Hardy potential: existence and asymptotic properties of ground state solution
- Geometrically distinct solutions of nonlinear elliptic systems with periodic potentials
- Ground and bound state solutions of semilinear time-harmonic Maxwell equations in a bounded domain
- Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems
- Multiple solutions to a nonlinear curl-curl problem in \({\mathbb{R}}^3\)
- Ground state and multiple solutions via generalized Nehari manifold
- Nehari-type ground state solutions for superlinear elliptic equations with variable exponent in \(\mathbb{R}^N\)
- On a Class of Nonlinear Second-Order Differential Equations
- Solutions to a nonlinear Maxwell equation with two competing nonlinearities in $\mathbb{R}^3$
- Generalized Nehari manifold and semilinear Schrödinger equation with weak monotonicity condition on the nonlinear term
- Unnamed Item
This page was built for publication: Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems