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Volumn 11, Issue 7, 2006, Pages 813-840

An existence and stability result for standing waves of nonlinear Schrödinger equations

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EID: 34547930001     PISSN: 10799389     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (100)

References (28)
  • 1
    • 0000817006 scopus 로고
    • Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires
    • H. Berestycki and T. Cazenave, Instabilité des états stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires, CRAS 293 (1981), 489-492.
    • (1981) CRAS , vol.293 , pp. 489-492
    • Berestycki, H.1    Cazenave, T.2
  • 3
    • 0345734391 scopus 로고    scopus 로고
    • Periodic solutions of nonlinear wave equations with general nonlinearities
    • M. Berti and P. Bolle, Periodic solutions of nonlinear wave equations with general nonlinearities, Comm. Math. Phys., 243 (2003), 315-328.
    • (2003) Comm. Math. Phys. , vol.243 , pp. 315-328
    • Berti, M.1    Bolle, P.2
  • 5
    • 0000090159 scopus 로고
    • Orbital stability of standing waves for some nonlinear Schrödinger equations
    • T. Cazenave and P.L. Lions, Orbital stability of standing waves for some nonlinear Schrödinger equations, Comm. Math. Phys., 85 (1982), 549-561.
    • (1982) Comm. Math. Phys. , vol.85 , pp. 549-561
    • Cazenave, T.1    Lions, P.L.2
  • 6
    • 29144530122 scopus 로고    scopus 로고
    • Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
    • A. de Bouard and R. Fukuizumi, Stability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities, Ann. IHP, 6 (2005), 1157-1177.
    • (2005) Ann. IHP , vol.6 , pp. 1157-1177
    • de Bouard, A.1    Fukuizumi, R.2
  • 7
    • 0009030411 scopus 로고
    • Nonlinear bound states outside an insulated sphere
    • M.J. Esteban and W. Strauss, Nonlinear bound states outside an insulated sphere, Comm. Part. Diff. Equa., 19 (1994), 177-197.
    • (1994) Comm. Part. Diff. Equa. , vol.19 , pp. 177-197
    • Esteban, M.J.1    Strauss, W.2
  • 8
    • 0037437726 scopus 로고    scopus 로고
    • Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
    • G. Fibich and X.P. Wang, Stability of solitary waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities, Physica D, 175 (2003), 96-108.
    • (2003) Physica D , vol.175 , pp. 96-108
    • Fibich, G.1    Wang, X.P.2
  • 9
    • 85010752657 scopus 로고    scopus 로고
    • Stability and instability of standing waves for nonlinear Schrödinger equations
    • Tohoku Mathematical Publications, June
    • R. Fuikuizumi, "Stability and instability of standing waves for nonlinear Schrödinger equations," PhD Thesis, 25, Tohoku Mathematical Publications, June (2003).
    • (2003) PhD Thesis , vol.25
    • Fuikuizumi, R.1
  • 10
    • 25144499221 scopus 로고    scopus 로고
    • Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities
    • R. Fukuizumi and M. Ohta, Instability of standing waves for nonlinear Schrödinger equations with inhomogeneous nonlinearities, J. Math. Kyoto University, 45 (2005), 145-158.
    • (2005) J. Math. Kyoto University , vol.45 , pp. 145-158
    • Fukuizumi, R.1    Ohta, M.2
  • 11
    • 34250271532 scopus 로고
    • Symmetry and related properties via the maximum principle
    • B. Gidas, W. N. Ni and L. Nirenberg, Symmetry and related properties via the maximum principle, Comm. Math. Phys., 68, (1979), 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.N.2    Nirenberg, L.3
  • 12
    • 0000468151 scopus 로고
    • Stability theory of solitary waves in the presence of symmetry. I
    • M. Grillakis, J. Shatah, and W. Strauss, Stability theory of solitary waves in the presence of symmetry. I, J. Func. Anal., 74 (1987), 160-197.
    • (1987) J. Func. Anal. , vol.74 , pp. 160-197
    • Grillakis, M.1    Shatah, J.2    Strauss, W.3
  • 13
    • 84972530624 scopus 로고
    • Stability and instability of solitary waves for onedimensional singular Schrödinger equations
    • I.D. Iliev and K.P. Kirchev, Stability and instability of solitary waves for onedimensional singular Schrödinger equations, Differential and Integral Equations, 6 (1993), 685-703.
    • (1993) Differential and Integral Equations , vol.6 , pp. 685-703
    • Iliev, I.D.1    Kirchev, K.P.2
  • 14
    • 0033475560 scopus 로고    scopus 로고
    • N and Séré's non-degeneracy condition
    • N and Séré's non-degeneracy condition, CPDE, 24 (1999), 563-598.
    • (1999) CPDE , vol.24 , pp. 563-598
    • Kabeya, Y.1    Tanaka, K.2
  • 15
    • 0033269302 scopus 로고    scopus 로고
    • Local conditions insuring bifurcation from the continuous spectrum
    • L. Jeanjean, Local conditions insuring bifurcation from the continuous spectrum, Math. Zeit., 232 (1999), 651-674.
    • (1999) Math. Zeit. , vol.232 , pp. 651-674
    • Jeanjean, L.1
  • 17
    • 0036922015 scopus 로고    scopus 로고
    • Existence of nonstationary bubbles in higher dimensions
    • M. Maris, Existence of nonstationary bubbles in higher dimensions, J. Math. Pures Appl., 81 (2002), 1207-1239.
    • (2002) J. Math. Pures Appl. , vol.81 , pp. 1207-1239
    • Maris, M.1
  • 19
    • 10944249887 scopus 로고    scopus 로고
    • Stability of standing waves for some nonlinear Schrödinger equations
    • J.B. Mcleod, C.A. Stuart and W.C. Troy, Stability of standing waves for some nonlinear Schrödinger equations, Differential and Integral Equations, 16 (2003), 1025-1038.
    • (2003) Differential and Integral Equations , vol.16 , pp. 1025-1038
    • Mcleod, J.B.1    Stuart, C.A.2    Troy, W.C.3
  • 20
    • 84971179248 scopus 로고
    • Locating the peaks of least-energy solutions to a semilinear Neumann problem
    • W-M. Ni and I. Takagi, Locating the peaks of least-energy solutions to a semilinear Neumann problem, Duke Math. J., 70 (1993), 247-281.
    • (1993) Duke Math. J. , vol.70 , pp. 247-281
    • Ni, W.-M.1    Takagi, I.2
  • 21
    • 0003687441 scopus 로고
    • Methods of Modern Mathematical Physics
    • Academic Press, New York
    • M. Reed and B. Simon, "Methods of Modern Mathematical Physics," Vols. IV, Academic Press, New York, (1979).
    • (1979) , vol.4
    • Reed, M.1    Simon, B.2
  • 22
    • 0000173206 scopus 로고
    • On the bound states of the nonlinear Schrödinger equation with a linear potential
    • H.A. Rose and M.I. Weinstein, On the bound states of the nonlinear Schrödinger equation with a linear potential, Phys. D, 30 (1988), 207-218.
    • (1988) Phys. D , vol.30 , pp. 207-218
    • Rose, H.A.1    Weinstein, M.I.2
  • 23
    • 84962985062 scopus 로고
    • N) for a semilinear elliptic equation
    • N) for a semilinear elliptic equation, Proc. London Math. Soc., 57 (1988), 511-541.
    • (1988) Proc. London Math. Soc. , vol.57 , pp. 511-541
    • Stuart, C.A.1
  • 24
    • 0003230098 scopus 로고    scopus 로고
    • The nonlinear Schrödinger equation, Self-focusing and wave collapse
    • Springer-Verlag, New-York
    • C. Sulem and P.L. Sulem, "The nonlinear Schrödinger equation, Self-focusing and wave collapse," Applied Mathematical Sciences, 139, Springer-Verlag, New-York, (1999).
    • (1999) Applied Mathematical Sciences , vol.139
    • Sulem, C.1    Sulem, P.L.2
  • 26
    • 0041473959 scopus 로고
    • Nonlinear Schrödinger equations and sharp interpolation estimates
    • M.I. Weinstein, Nonlinear Schrödinger equations and sharp interpolation estimates, Comm. Math. Phys. 87 (1983), 567-576.
    • (1983) Comm. Math. Phys. , vol.87 , pp. 567-576
    • Weinstein, M.I.1
  • 27
    • 0000686130 scopus 로고
    • Modulational stability of ground states of nonlinear Schrödinger equations
    • M.I. Weinstein, Modulational stability of ground states of nonlinear Schrödinger equations, Siam J. Math. Anal. 16 (1985), 472-491.
    • (1985) Siam J. Math. Anal. , vol.16 , pp. 472-491
    • Weinstein, M.I.1


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