On the number of single-peak solutions of the nonlinear Schrödinger equation

Massimo Grossi

Annales de l'I.H.P. Analyse non linéaire (2002)

  • Volume: 19, Issue: 3, page 261-280
  • ISSN: 0294-1449

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Grossi, Massimo. "On the number of single-peak solutions of the nonlinear Schrödinger equation." Annales de l'I.H.P. Analyse non linéaire 19.3 (2002): 261-280. <http://eudml.org/doc/78545>.

@article{Grossi2002,
author = {Grossi, Massimo},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Nonlinear Schrödinger equation; Nondegeneracy},
language = {eng},
number = {3},
pages = {261-280},
publisher = {Elsevier},
title = {On the number of single-peak solutions of the nonlinear Schrödinger equation},
url = {http://eudml.org/doc/78545},
volume = {19},
year = {2002},
}

TY - JOUR
AU - Grossi, Massimo
TI - On the number of single-peak solutions of the nonlinear Schrödinger equation
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2002
PB - Elsevier
VL - 19
IS - 3
SP - 261
EP - 280
LA - eng
KW - Nonlinear Schrödinger equation; Nondegeneracy
UR - http://eudml.org/doc/78545
ER -

References

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  2. [2] Cao D., Noussair E., Yan S., Existence and uniqueness results on single peaked solutions of a semilinear problem, Ann. Inst. H. Poincaré15 (1998) 73-111. Zbl0905.35033MR1614607
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  14. [14] Ni W.M., Takagi I., On the shape of least energy solutions to a semilinear Neumann problem, Comm. Pure Math. Appl.41 (1991) 819-851. Zbl0754.35042MR1115095
  15. [15] Ni W.M., Wei J., On the location and profile of spike-layer solutions to singularly perturbed semilinear Dirichlet problems, Comm. Pure Math. Appl.48 (1995) 731-768. Zbl0838.35009MR1342381
  16. [16] Oh Y.G., Existence of semiclassical bound states of nonlinear Schrödinger equation with potential in the class (V)α, Comm. Part. Diff. Eq.13 (1988) 1499-1519. Zbl0702.35228
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