Existence of single peak solutions for a nonlinear Schrödinger system with coupled quadratic nonlinearity
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Publication:2232065
DOI10.1515/anona-2021-0201zbMath1475.35132OpenAlexW3193797285MaRDI QIDQ2232065
Publication date: 4 October 2021
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/anona-2021-0201
NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)
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Cites Work
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- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Multiple solitary wave solutions of nonlinear Schrödinger systems
- Nonlinear scalar field equations. I: Existence of a ground state
- Higher dimensional solitary waves generated by second-harmonic generation in quadratic media
- A priori bounds versus multiple existence of positive solutions for a nonlinear Schrödinger system
- Radial solutions and phase separation in a system of two coupled Schrödinger equations
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Existence of solitary waves in higher dimensions
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Ground states of two-component attractive Bose-Einstein condensates. I: Existence and uniqueness
- Nehari's problem and competing species systems.
- Infinitely many solitary waves due to the second-harmonic generation in quadratic media
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation
- Bound and ground states of coupled nonlinear Schrödinger equations
- Global well-posedness of coupled parabolic systems
- Multi-spikes solutions for a system of coupled elliptic equations with quadratic nonlinearity
- Least energy solitary waves for a system of nonlinear Schrödinger equations in \({\mathbb{R}^n}\)
- Semiclassical states for weakly coupled nonlinear Schrödinger systems
- Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
- Ground States and Bound States of a Nonlinear Schrödinger System
- Solutions with multiple peaks for nonlinear elliptic equations
- Nonlinear Analysis - Theory and Methods
- Standing waves of some coupled nonlinear Schrödinger equations
