Existence and uniqueness results on Single-Peaked solutions of a semilinear problem

Daomin Cao; Ezzat S. Noussair; Shusen Yan

Annales de l'I.H.P. Analyse non linéaire (1998)

  • Volume: 15, Issue: 1, page 73-111
  • ISSN: 0294-1449

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Cao, Daomin, Noussair, Ezzat S., and Yan, Shusen. "Existence and uniqueness results on Single-Peaked solutions of a semilinear problem." Annales de l'I.H.P. Analyse non linéaire 15.1 (1998): 73-111. <http://eudml.org/doc/78432>.

@article{Cao1998,
author = {Cao, Daomin, Noussair, Ezzat S., Yan, Shusen},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {location of maximum points; critical points of the coefficient; number of single-peaked solutions},
language = {eng},
number = {1},
pages = {73-111},
publisher = {Gauthier-Villars},
title = {Existence and uniqueness results on Single-Peaked solutions of a semilinear problem},
url = {http://eudml.org/doc/78432},
volume = {15},
year = {1998},
}

TY - JOUR
AU - Cao, Daomin
AU - Noussair, Ezzat S.
AU - Yan, Shusen
TI - Existence and uniqueness results on Single-Peaked solutions of a semilinear problem
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 1998
PB - Gauthier-Villars
VL - 15
IS - 1
SP - 73
EP - 111
LA - eng
KW - location of maximum points; critical points of the coefficient; number of single-peaked solutions
UR - http://eudml.org/doc/78432
ER -

References

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  8. [8] L. Glangetas, Uniqueness of positive solutions of a nonlinear elliptic equation involving the critical exponent, Nonlinear Anal. T.M.A., Vol. 20, No. 5, 1993, pp. 571-603. Zbl0797.35048MR1207531
  9. [9] W.M. Ni and J. Wei, On the location and profile of spike-layer solutions to singularity perturbed semilinear problems, to appear in Comm. Pure Appl. Math. Zbl0838.35009
  10. [10] W.M. Ni and I. Takagi, On the shape of the least-energy solutions to a semilinear Neumann problem, Comm. Pure Appl. Math., Vol. 44, 1991, pp. 819-851. Zbl0754.35042MR1115095
  11. [11] O. Rey, The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Funct. Anal., Vol. 89, 1990, pp. 1-52. Zbl0786.35059MR1040954
  12. [12] J. Wei, Viscosity approach to the construction of single-peaked solutions of a singularly perturbed semilinear Dirichlet problem, preprint. Zbl0865.35011MR1404386

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