Orbital Stability of Bound States of Semiclassical Nonlinear Schrödinger Equations with Critical Nonlinearity

SIAM Journal on Mathematical Analysis ◽

10.1137/070683842 ◽

2008 ◽

Vol 40 (1) ◽

pp. 365-381 ◽

Author(s):

Tai-Chia Lin ◽

Juncheng Wei

Keyword(s):

Bound States ◽

Orbital Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Critical Nonlinearity ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Orbital stability of bound states of nonlinear Schrödinger equations with linear and nonlinear optical lattices

Journal of Differential Equations ◽

10.1016/j.jde.2010.06.020 ◽

2010 ◽

Vol 249 (9) ◽

pp. 2111-2146 ◽

Author(s):

Tai-Chia Lin ◽

Juncheng Wei ◽

Wei Yao

Keyword(s):

Bound States ◽

Nonlinear Optical ◽

Optical Lattices ◽

Orbital Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Linear And Nonlinear

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Bound States of 2-D Nonlinear Schrödinger Equations with Potentials Tending to Zero at Infinity

SIAM Journal on Mathematical Analysis ◽

10.1137/110846919 ◽

2013 ◽

Vol 45 (4) ◽

pp. 2299-2331 ◽

Author(s):

Mingwen Fei ◽

Huicheng Yin

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Nodal bound states with clustered spikes for Nonlinear Schrödinger equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60133-8 ◽

2014 ◽

Vol 34 (6) ◽

pp. 1892-1906 ◽

Author(s):

Jinjun DAI ◽

Qihan HE ◽

Biwen LI

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Bound states of nonlinear Schrödinger equations with potentials vanishing at infinity

Journal d Analyse Mathématique ◽

10.1007/bf02790279 ◽

2006 ◽

Vol 98 (1) ◽

pp. 317-348 ◽

Author(s):

A. Ambrosetti ◽

A. Malchiodi ◽

D. Ruiz

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Multi-bump bound states of nonlinear Schrödinger equations with electromagnetic fields and critical frequency

Journal of Differential Equations ◽

10.1016/j.jde.2008.07.035 ◽

2008 ◽

Vol 245 (10) ◽

pp. 2723-2748 ◽

Author(s):

Zhongwei Tang

Keyword(s):

Electromagnetic Fields ◽

Bound States ◽

Critical Frequency ◽

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 ◽

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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Existence and concentration of bound states of a class of nonlinear Schrödinger equations in ℝ2 with potential tending to zero at infinity

Acta Mathematica Sinica English Series ◽

10.1007/s10114-012-0524-2 ◽

2012 ◽

Vol 28 (11) ◽

pp. 2243-2274 ◽

Author(s):

Da Cheng Cui ◽

Ji Hui Zhang ◽

Ming Wen Fei

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On concentration of positive bound states of nonlinear Schrödinger equations

Communications in Mathematical Physics ◽

10.1007/bf02096642 ◽

1993 ◽

Vol 153 (2) ◽

pp. 229-244 ◽

Author(s):

Xuefeng Wang

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Instability of bound states for abstract nonlinear Schrödinger equations

Journal of Functional Analysis ◽

10.1016/j.jfa.2011.03.010 ◽

2011 ◽

Vol 261 (1) ◽

pp. 90-110 ◽

Author(s):

Masahito Ohta

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-015-0930-2 ◽

2015 ◽

Vol 54 (4) ◽

pp. 4037-4063 ◽

Author(s):

Daomin Cao ◽

Shuanglong Li ◽

Peng Luo

Keyword(s):

Bound States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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