Multi-peak bound states for nonlinear Schrödinger equations
نویسندگان
چکیده
منابع مشابه
Stable Directions for Degenerate Excited States of Nonlinear Schrödinger Equations
We consider the nonlinear Schrödinger equations i∂tψ = H0ψ + λ|ψ|ψ in R× [0,∞) where H0 = −∆ +V and λ = ±1. Assume that the potential V is radial and decays sufficiently fast at infinity. Assume also that the linear Hamiltonian H0 has only two discrete eigenvalues e0 < e1 < 0 where e0 is simple and e1 has multiplicities 3. We show that there exist three branches of nonlinear excited states and ...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 1998
ISSN: 0294-1449
DOI: 10.1016/s0294-1449(97)89296-7