On the concentration of solutions of singularly perturbed Hamiltonian systems in \(\mathbb R^N\)

zbMath1176.35062MaRDI QIDQ874844

Miguel Ramos, Sérgio H. M. Soares

Publication date: 10 April 2007

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45081

zbMATH Keywords

positive solutionsminimax methodsspike-layered solutionssuperlinear elliptic systems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for elliptic systems (35J50) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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Semiclassical states for non-cooperative singularly perturbed fractional Schrödinger systems ⋮ Semi-classical states for elliptic system near saddle points of potentials ⋮ Multiplicity of semiclassical solutions for a class of nonlinear Hamiltonian elliptic system ⋮ Semiclassical limits of ground state solutions to Schrödinger systems ⋮ Ground state and non-ground state solutions of some strongly coupled elliptic systems ⋮ Solutions with multiple spike patterns for an elliptic system ⋮ Unnamed Item ⋮ Soliton solutions to systems of coupled Schrödinger equations of Hamiltonian type ⋮ On singular perturbations of superlinear elliptic systems ⋮ Existence of ground state solutions of Nehari-Pankov type to Schrödinger systems ⋮ Semiclassical states for coupled nonlinear Schrödinger system with competing potentials

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