Solitary waves for some nonlinear Schrödinger systems

Djairo G. de Figueiredo; Orlando Lopes

Annales de l'I.H.P. Analyse non linéaire (2008)

  • Volume: 25, Issue: 1, page 149-161
  • ISSN: 0294-1449

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de Figueiredo, Djairo G., and Lopes, Orlando. "Solitary waves for some nonlinear Schrödinger systems." Annales de l'I.H.P. Analyse non linéaire 25.1 (2008): 149-161. <http://eudml.org/doc/78777>.

@article{deFigueiredo2008,
author = {de Figueiredo, Djairo G., Lopes, Orlando},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {nonlinear Schrödinger systems; Nehari manifold; positive solution},
language = {eng},
number = {1},
pages = {149-161},
publisher = {Elsevier},
title = {Solitary waves for some nonlinear Schrödinger systems},
url = {http://eudml.org/doc/78777},
volume = {25},
year = {2008},
}

TY - JOUR
AU - de Figueiredo, Djairo G.
AU - Lopes, Orlando
TI - Solitary waves for some nonlinear Schrödinger systems
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2008
PB - Elsevier
VL - 25
IS - 1
SP - 149
EP - 161
LA - eng
KW - nonlinear Schrödinger systems; Nehari manifold; positive solution
UR - http://eudml.org/doc/78777
ER -

References

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  1. [1] Ambrosetti A., Colorado E., Bound and ground states of coupled nonlinear Schrödinger equations, C. R. Acad. Sci. Paris, Ser. I342 (2006) 453-458. Zbl1094.35112MR2214594
  2. [2] Bonorino L., Brietzke E., Lukaszczyk J.P., Taschetto C., Properties of the period function for some hamiltonian systems and homogeneous solutions of a semilinear elliptic equation, J. Differential Equations214 (2005) 156-175. Zbl1084.34044MR2143515
  3. [3] Lin T.C., Wei J., Ground states of Ncoupled nonlinear Schrödinger equations in R n , n 3 , Comm. Math. Phys.255 (2005) 629-653. Zbl1119.35087MR2135447
  4. [4] T.C. Lin, J. Wei, Ground states of Ncoupled nonlinear Schrödinger equations in R n , n 3 , Comm. Math. Phys., Erratum, in press. 
  5. [5] L. Maia, E. Montefusco, B. Pellacci, Positive solutions for a weakly coupled nonlinear Schrödinger system, preprint. Zbl1104.35053MR2263573
  6. [6] Reed M., Simon B., Methods of Modern Mathematical Physics, IV, Analysis of Operators, Academic Press, New York, 1972. Zbl0401.47001MR493421
  7. [7] Reed M., Simon B., Methods of Modern Mathematical Physics, II, Fourier Analysis, Academic Press, New York, 1972. Zbl0242.46001MR751959
  8. [8] B. Sirakov, Least energy solitary waves for a system of nonlinear Schrödinger equations in R N , preprint. Zbl1147.35098MR2283958
  9. [9] Yang J., Classification of the solitary waves in coupled nonlinear Schrödinger equations, Physica D108 (1997) 92-112. Zbl0938.35180MR1477642

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