A multibump construction in a degenerate setting
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Publication:5961564
DOI10.1007/s005260050064zbMath0876.34055OpenAlexW2082766546MaRDI QIDQ5961564
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
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
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