A multibump construction in a degenerate setting

DOI10.1007/s005260050064zbMath0876.34055OpenAlexW2082766546MaRDI QIDQ5961564

Paul H. Rabinowitz

Publication date: 1 September 1997

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050064

zbMATH Keywords

homoclinic solutionsmultibump solutionssingular Hamiltonian systems

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (13)

A global condition for periodic Duffing-like equations ⋮ Multibump solutions of a class of second-order discrete Hamiltonian systems ⋮ Unstable normalized standing waves for the space periodic NLS ⋮ Pseudoholomorphic curves and the shadowing lemma ⋮ On global non-degeneracy conditions for chaotic behavior for a class of dynamical systems ⋮ Chaotic orbits for systems of nonlocal equations ⋮ Existence of positive solutions for a semilinear Schrödinger equation in \(\mathbb{R}^{N}\) ⋮ Genericity of the multibump dynamics for almost periodic Duffing-like systems ⋮ A nondegeneracy condition for a semilinear elliptic system and the existence of multibump solutions ⋮ Solution set splitting at low energy levels in Schrödinger equations with periodic and symmetric potential ⋮ MULTIBUMP SOLUTIONS OF NONLINEAR PERIODIC SCHRÖDINGER EQUATIONS IN A DEGENERATE SETTING ⋮ Multibump solutions for a class of Lagrangian systems slowly oscillating at infinity ⋮ Two families of infinitely many homoclinics for singular strong force Hamiltonian systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multibump homoclinic solutions for a class of second order, almost periodic Hamiltonian systems
• A variational approach to homoclinic orbits in Hamiltonian systems
• Existence of solutions for semilinear elliptic equations with indefinite linear part
• Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
• Homoclinic and heteroclinic orbits for a class of Hamiltonian systems
• Looking for the Bernoulli shift
• Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems
• Multibump periodic solutions of a family of Hamiltonian systems
• On the multiplicity of homoclinic orbits on Riemannian manifolds for a class of second order Hamiltonian systems
• A variational approach to multiple layers of the bistable equation in long tubes
• Multi-peak bound states for nonlinear Schrödinger equations
• Pseudoholomorphic curves and the shadowing lemma
• Chaotic Behaviour in Simple Dynamical Systems
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Homoclinic type solutions for a semilinear elliptic PDE on ℝⁿ
• On –δu = K(x)u⁵ in ℝ³
• Existence and multiplicity of homoclinic orbits for potentials on unbounded domains
• Conservative Dynamical Systems Involving Strong Forces
• Multibump solutions for perturbations of periodic second order Hamiltonian systems
• A global condition for quasi-random behavior in a class of conservative systems
• Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
• THE SET OF CRITICAL VALUES OF A FUNCTIONAL
• Existence of infinitely many homoclinic orbits in Hamiltonian systems

This page was built for publication: A multibump construction in a degenerate setting