Normalized solutions for \(L^2\)-supercritical Schrödinger equations

DOI10.1016/J.AML.2024.109329MaRDI QIDQ6656506

X. H. Tang, Peng Jin

Publication date: 3 January 2025

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

nonlinear Schrödinger equationexistence of normalized solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Normalized solutions for a system of coupled cubic Schrödinger equations on \(\mathbb R^3\)
• Nonlinear scalar field equations. II: Existence of infinitely many solutions
• Normalized solutions of nonlinear Schrödinger equations
• Multiple normalized solutions for quasi-linear Schrödinger equations
• Sharp nonexistence results of prescribed \(L^2\)-norm solutions for some class of Schrödinger-Poisson and quasi-linear equations
• Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
• Existence of solutions with prescribed norm for semilinear elliptic equations
• Normalized solutions for Schrödinger equations with mixed dispersion and critical exponential growth in \(\mathbb{R}^2\)
• Multiple normalized solutions for the planar Schrödinger-Poisson system with critical exponential growth
• Normalized Solutions for Schrödinger Equations with Critical Exponential Growth in \(\boldsymbol{\mathbb{R}^2}\)
• Another look at Schrödinger equations with prescribed mass

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