On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations
From MaRDI portal
Publication:4961008
DOI10.1017/prm.2018.114zbMath1436.35092arXiv1705.09068OpenAlexW2964188287MaRDI QIDQ4961008
Jinmyoung Seok, Younghun Hong, Woocheol Choi
Publication date: 24 April 2020
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.09068
Schrödinger operator, Schrödinger equation (35J10) Soliton equations (35Q51) Semilinear elliptic equations (35J61)
Related Items (2)
Orbital stability for the mass-critical and supercritical pseudo-relativistic nonlinear Schrödinger equation ⋮ A generalized pseudorelativistic Schrödinger equation with supercritical growth
Cites Work
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Nonlinear fractional field equations
- Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
- On linear instability of solitary waves for the nonlinear Dirac equation
- Nonlinear scalar field equations. I: Existence of a ground state
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Existence of solitary waves in higher dimensions
- Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations
- Super-position of spikes for a slightly super-critical elliptic equation in \(\mathbb R^N\)
- Semiclassical analysis for pseudo-relativistic Hartree equations
- Ground states for pseudo-relativistic Hartree equations of critical type
- Nonrelativistic limit of standing waves for pseudo-relativistic nonlinear Schrödinger equations
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Classical Fourier Analysis
- Ground states for the pseudo-relativistic Hartree equation with external potential
- Pseudorelativistic Hartree Equation with General Nonlinearity: Existence, Non-existence and Variational Identities
- Perturbation method for a class of nonlinear Dirac equations
This page was built for publication: On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations