Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equation

WEIWEI Ao;  Monica MUSSO;  Juncheng WEI

doi:10.24033/bsmf.2774

Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equation

Bulletin de la Société mathématique de France ◽

10.24033/bsmf.2774 ◽

2019 ◽

Vol 147 (1) ◽

pp. 1-48

Author(s):

WEIWEI Ao ◽

Monica MUSSO ◽

Juncheng WEI

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions

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Sign-changing solutions to a gauged nonlinear Schrödinger equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.06.048 ◽

2017 ◽

Vol 455 (2) ◽

pp. 1559-1578 ◽

Cited By ~ 15

Author(s):

Gongbao Li ◽

Xiao Luo ◽

Wei Shuai

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions

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Sign-changing solutions to a partially periodic nonlinear Schrödinger equation in domains with unbounded boundary

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-018-0521-x ◽

2018 ◽

Vol 20 (1) ◽

Author(s):

Mónica Clapp ◽

Yéferson Fernández

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions

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Multiplicity of sign-changing solutions for a supercritical nonlinear Schrödinger equation

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106569 ◽

2020 ◽

Vol 109 ◽

pp. 106569

Author(s):

Jianjun Nie ◽

Quanqing Li

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions

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Sign-changing solutions for the nonlinear Schrödinger equation with generalized Chern-Simons gauge theory

Authorea ◽

10.22541/au.158022296.63606994 ◽

2020 ◽

Author(s):

Liejun Shen

Keyword(s):

Gauge Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions ◽

Chern Simons

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Ground state radial sign-changing solutions for a gauged nonlinear Schrödinger equation involving critical growth

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2020235 ◽

2020 ◽

Vol 19 (11) ◽

pp. 5239-5252 ◽

Cited By ~ 1

Author(s):

Jincai Kang ◽

◽

Chunlei Tang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Ground State ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Critical Growth ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions

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Sign-changing solutions to a gauged nonlinear Schrödinger equation with critical exponential growth

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2020.1863383 ◽

2021 ◽

pp. 1-18

Author(s):

Liejun Shen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Exponential Growth ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Critical Exponential Growth ◽

Sign Changing Solutions

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Finite-energy sign-changing solutions with dihedral symmetry for the stationary nonlinear Schrödinger equation

Journal of the European Mathematical Society ◽

10.4171/jems/351 ◽

2012 ◽

Vol 14 (6) ◽

pp. 1923-1953 ◽

Cited By ~ 21

Author(s):

Monica Musso ◽

Frank Pacard ◽

Juncheng Wei

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Finite Energy ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Sign Changing Solutions

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Nonlinear Schrödinger Equation-Based Adjoint Sensitivity Analysis

2020 International Applied Computational Electromagnetics Society Symposium (ACES) ◽

10.23919/aces49320.2020.9196096 ◽

2020 ◽

Author(s):

Mahmoud M. T. Maghrabi ◽

Mohamed H. Bakr ◽

Shiva Kumar

Keyword(s):

Sensitivity Analysis ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Adjoint Sensitivity Analysis ◽

Adjoint Sensitivity ◽

Nonlinear Schrödinger

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Higher-order nonlinear Schrödinger equation in 2D case

Tohoku Mathematical Journal ◽

10.2748/tmj/1585101619 ◽

2020 ◽

Vol 72 (1) ◽

pp. 15-37

Author(s):

Nakao Hayashi ◽

Pavel I. Naumkin

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Some properties of small perturbations against a stationary solution of the nonlinear Schrödinger equation

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2019.109570 ◽

2020 ◽

Vol 132 ◽

pp. 109570

Author(s):

Mikhail N. Smolyakov

Keyword(s):

Schrödinger Equation ◽

Stationary Solution ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Small Perturbations ◽

Nonlinear Schrödinger

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