Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
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Publication:1850738
DOI10.1016/S0167-2789(02)00626-7zbMath1098.74614OpenAlexW2096501089MaRDI QIDQ1850738
Publication date: 18 December 2002
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00626-7
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Cites Work
- Unnamed Item
- Unnamed Item
- Nonlinear Schrödinger equations and sharp interpolation estimates
- Nonlinear scalar field equations. I: Existence of a ground state
- Stable standing waves of nonlinear Klein-Gordon equations
- Instability of nonlinear bound states
- Stability theory of solitary waves in the presence of symmetry. I
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Existence of solitary waves in higher dimensions
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Nonlinear stability of solitary waves of a generalized Kadomtsev-Petviashvili equation
- Stability and instability of fourth-order solitary waves
- Lyapunov stability of ground states of nonlinear dispersive evolution equations
- On Concentration of Positive Bound States of Nonlinear Schrödinger Equations with Competing Potential Functions
- Self-focusing on bounded domains
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