On a damped vibration problem involving \(p\)-Laplacian operator: fast homoclinic orbits

DOI10.1007/s10255-022-1083-7zbMath1502.34052OpenAlexW4226304094MaRDI QIDQ2125655

Peng Chen, Yuanyuan Zhang, Xian Hua Tang

Publication date: 14 April 2022

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-022-1083-7

zbMATH Keywords

variational methodsMountain Pass Theorem\(p\)-Laplacianfast homoclinic solutionsdamped vibration systems

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fast homoclinic solutions for a class of damped vibration problems
• Infinitely many homoclinic orbits of second-order \(p\)-Laplacian systems
• Homoclinic solutions for ordinary \(p\)-Laplacian systems
• Existence and multiplicity of homoclinic solutions for a class of damped vibration problems
• Homoclinic solutions for a nonlinear second order differential system with \(p\)-Laplacian operator
• Fast homoclinic solutions for some second order non-autonomous systems
• Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials
• Homoclinic solutions for a class of asymptotically quadratic Hamiltonian systems
• A variational approach to homoclinic orbits in Hamiltonian systems
• Periodic and heteroclinic orbits for a periodic Hamiltonian system
• Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems
• Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• On a class of damped vibration problems with super-quadratic potentials
• Critical point theory and Hamiltonian systems
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Existence of homoclinic orbits for asymptotically periodic systems involving Duffing-like equation
• Some boundary value problems for Hartman-type perturbations of the ordinary vector \(p\)-Laplacian
• Some results on connecting orbits for a class of Hamiltonian systems
• Homoclinic solutions of Hamiltonian systems with symmetry
• Fast and heteroclinic solutions for a second order ODE related to Fisher-Kolmogorov's equation
• On a class of forced vibration problems with obstacles
• On variational methods for a class of damped vibration problems
• On the propagation properties of a nonlinear degenerate parabolic equation
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Fast homoclinic solutions for a class of damped vibration problems with subquadratic potentials
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic orbits for asymptotically linear Hamiltonian systems

This page was built for publication: On a damped vibration problem involving \(p\)-Laplacian operator: fast homoclinic orbits