Homoclinic orbits for Schrödinger systems.

DOI10.1307/mmj/1049832893zbMath1195.35281OpenAlexW2026338618MaRDI QIDQ1396343

Schechter, Martin, Wen Ming Zou

Publication date: 30 June 2003

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1049832893

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (13)

Solutions for a class of nonperiodic superquadratic Hamiltonian elliptic systems involving gradient terms ⋮ On Hamiltonian elliptic systems with periodic or non-periodic potentials ⋮ Infinitely many solutions for diffusion equations without symmetry ⋮ Homoclinic orbits for an unbounded superquadratic Hamiltonian systems ⋮ Existence of solutions for a system of diffusion equations with spectrum point zero ⋮ Ground state solutions for a diffusion system ⋮ Nontrivial solitary waves to the generalized Kadomtsev-Petviashvili equations ⋮ Ground states for diffusion system with periodic and asymptotically periodic nonlinearity ⋮ Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent ⋮ Homoclinic orbits for an infinite dimensional Hamiltonian system with periodic potential ⋮ Some recent results in linking theory and applications ⋮ Homoclinic orbits in generalized Liénard systems ⋮ Nonstationary homoclinic orbits for an infinite-dimensional Hamiltonian system

Cites Work

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• Homoclinic orbits for asymptotically linear Hamiltonian systems

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