Homoclinic solutions for a nonlinear second order differential system with \(p\)-Laplacian operator

DOI10.1016/J.NONRWA.2010.06.037zbMath1229.34068OpenAlexW2017569101MaRDI QIDQ611275

Shiping Lu

Publication date: 14 December 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2010.06.037

zbMATH Keywords

periodic solutioncritical point theoryhomoclinic solutionp-Laplacian differential system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (19)

On a damped vibration problem involving \(p\)-Laplacian operator: fast homoclinic orbits ⋮ New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition ⋮ Multiple homoclinic solutions for \(p\)-Laplacian Hamiltonian systems with concave-convex nonlinearities ⋮ Fast homoclinic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ Homoclinic solutions for a second-order \(p\)-Laplacian functional differential system with local condition ⋮ Homoclinic solutions for \(p\)-Laplacian Hamiltonian systems with combined nonlinearities ⋮ Homoclinic solutions for ordinary \(p\)-Laplacian systems with local super-\(p\) linear conditions ⋮ Homoclinic solutions for Hamiltonian systems of \(p\)-Laplacian-like type ⋮ Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials ⋮ Existence and nonuniqueness of homoclinic solutions for second-order Hamiltonian systems with mixed nonlinearities ⋮ Existence of homoclinic orbits for a class of asymptotically \(p\)-linear aperiodic \(p\)-Laplacian systems ⋮ Existence and uniqueness of homoclinic solution for a class of nonlinear second-order differential equations ⋮ Homoclinic solutions for Hamiltonian system with impulsive effects ⋮ Homoclinic orbits for a class of subquadratic second order Hamiltonian systems ⋮ Multiplicity of solutions for Schrödinger equations with concave-convex nonlinearities ⋮ Existence of homoclinic solutions for a class of neutral functional differential equations ⋮ Homoclinic orbits for a class of second-order Hamiltonian systems without a coercive potential ⋮ Multiple solutions for Schrödinger equations involving concave-convex nonlinearities without (\textit{AR})-type condition ⋮ Existence of homoclinic solutions for a class of second-order Hamiltonian systems with locally subquadratic potentials

Cites Work

• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems

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