Multiple of homoclinic solutions for a perturbed dynamical systems with combined nonlinearities

DOI10.1007/s00009-017-0930-xzbMath1376.34044OpenAlexW2612218982MaRDI QIDQ1674212

Abderrazek Benhassine

Publication date: 1 November 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-017-0930-x

zbMATH Keywords

mountain pass theoremhomoclinic solutionsEkeland's variational principleLusternik-Schnirelman theory

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) Nonautonomous smooth dynamical systems (37C60)

Related Items (8)

Multiplicity solutions for a class of fractional Hamiltonian systems with concave-convex potentials ⋮ Two different sequences of infinitely many homoclinic solutions for a class of fractional Hamiltonian systems ⋮ On nonlinear Dirac equations ⋮ Ground state solutions for a class of fractional Hamiltonian systems ⋮ General and weak sufficient condition for Hamiltonian systems ⋮ Existence of infinitely many solutions for a class of fractional Hamiltonian systems ⋮ New contributions for new class of Hamiltonian systems ⋮ Solvability for boundary value problem of the general Schrödinger equation with general superlinear nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Infinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systems
• Homoclinic orbits for a class of first-order nonperiodic asymptotically quadratic Hamiltonian systems with spectrum point zero
• Homoclinic solutions of some second order non-autonomous systems
• Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Critical point theory and Hamiltonian systems
• Existence of homoclinic solution for the second order Hamiltonian systems.
• Some results on connecting orbits for a class of Hamiltonian systems
• Local superlinearity and sublinearity for indefinite semilinear elliptic problems.
• Minimax theorems
• Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Nonconvex minimization problems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

This page was built for publication: Multiple of homoclinic solutions for a perturbed dynamical systems with combined nonlinearities