Multi-peak periodic semiclassical states for a class of nonlinear Schrödinger equations
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Publication:4229274
DOI10.1017/S030821050002730XzbMath0922.35158MaRDI QIDQ4229274
Silvia Cingolani, Margherita Nolasco
Publication date: 20 October 1999
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)
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Cites Work
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- Multibump periodic solutions of a family of Hamiltonian systems
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- On concentration of positive bound states of nonlinear Schrödinger equations
- On positive multi-lump bound states of nonlinear Schrödinger equations under multiple well potential
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Uniqueness of Positive Radial Solutions of Δu + f(u) = 0 in ℝ n , II
- Existence of Semiclassical Bound States of Nonlinear Schrödinger Equations with Potentials of the Class (V)a
- Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
- Homoclinic type solutions for a semilinear elliptic PDE on ℝn
- Existence of infinitely many homoclinic orbits in Hamiltonian systems
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