Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations

Mathieu Colin; Masahito Ohta

doi:10.1137/110823808

Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/110823808 ◽

2012 ◽

Vol 44 (1) ◽

pp. 206-223 ◽

Cited By ~ 4

Author(s):

Mathieu Colin ◽

Masahito Ohta

Keyword(s):

Standing Waves ◽

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Standing waves for discrete nonlinear Schrödinger equations: sign-changing nonlinearities

Applicable Analysis ◽

10.1080/00036811.2011.609987 ◽

2011 ◽

Vol 92 (2) ◽

pp. 308-317 ◽

Cited By ~ 8

Author(s):

Alexander Pankov

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/pl00001512 ◽

2000 ◽

Vol 51 (3) ◽

pp. 498-503 ◽

Cited By ~ 46

Author(s):

J. Zhang

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Quantum mechanical ground states, nonlinear Schrodinger equations and linked cluster expansions

Journal of Physics A General Physics ◽

10.1088/0305-4470/14/6/009 ◽

1981 ◽

Vol 14 (6) ◽

pp. 1291-1305 ◽

Cited By ~ 8

Author(s):

L P Kadanoff ◽

M Kohmoto

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Quantum Mechanical ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Cluster Expansions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Mass concentration and local uniqueness of ground states for $$L^2$$ L 2 -subcritical nonlinear Schrödinger equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1077-3 ◽

2019 ◽

Vol 70 (1) ◽

Author(s):

Shuai Li ◽

Xincai Zhu

Keyword(s):

Mass Concentration ◽

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Local Uniqueness ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations

Nonlinearity ◽

10.1088/0951-7715/28/4/927 ◽

2015 ◽

Vol 28 (4) ◽

pp. 927-949 ◽

Cited By ~ 10

Author(s):

Guoyuan Chen

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Stability of Standing Waves for Nonlinear Schrödinger Equations with Inhomogeneous Nonlinearities

Annales Henri Poincaré ◽

10.1007/s00023-005-0236-6 ◽

2005 ◽

Vol 6 (6) ◽

pp. 1157-1177 ◽

Cited By ~ 17

Author(s):

Anne De Bouard ◽

Reika Fukuizumi

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Ground states of nonlinear Schrödinger equations with potentials

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2006.01.003 ◽

2006 ◽

Vol 23 (6) ◽

pp. 829-837 ◽

Cited By ~ 90

Author(s):

Yongqing Li ◽

Zhi-Qiang Wang ◽

Jing Zeng

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations

Journal of Differential Equations ◽

10.1016/j.jde.2004.05.003 ◽

2004 ◽

Vol 203 (2) ◽

pp. 292-312 ◽

Cited By ~ 29

Author(s):

Daomin Cao ◽

Ezzat S Noussair

Keyword(s):

Critical Frequency ◽

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in R2

Journal of Differential Equations ◽

10.1016/j.jde.2017.05.030 ◽

2017 ◽

Vol 263 (8) ◽

pp. 4750-4786 ◽

Cited By ~ 4

Author(s):

Tai-Chia Lin ◽

Xiaoming Wang ◽

Zhi-Qiang Wang

Keyword(s):

Energy Estimate ◽

Ground States ◽

Orbital Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Intensity Functions

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Erratum: Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0178-5 ◽

2008 ◽

Vol 190 (3) ◽

pp. 549-551 ◽

Cited By ~ 9

Author(s):

Jaeyoung Byeon ◽

Louis Jeanjean

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

General Nonlinearity

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