Concentration des solutions d'équations elliptiques avec nonlinéarité critique

O. Rey

Séminaire Équations aux dérivées partielles (Polytechnique) (1989-1990)

  • page 1-16

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Rey, O.. "Concentration des solutions d'équations elliptiques avec nonlinéarité critique." Séminaire Équations aux dérivées partielles (Polytechnique) (1989-1990): 1-16. <http://eudml.org/doc/111983>.

@article{Rey1989-1990,
author = {Rey, O.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {concentration; critical nonlinearity; critical point},
language = {fre},
pages = {1-16},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Concentration des solutions d'équations elliptiques avec nonlinéarité critique},
url = {http://eudml.org/doc/111983},
year = {1989-1990},
}

TY - JOUR
AU - Rey, O.
TI - Concentration des solutions d'équations elliptiques avec nonlinéarité critique
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1989-1990
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 16
LA - fre
KW - concentration; critical nonlinearity; critical point
UR - http://eudml.org/doc/111983
ER -

References

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  1. [B] A. Bahri, Critical points at infinity in some variational problems, Pitman Research Notes in Mathematics Series 182, Longman, 1989. Zbl0676.58021MR1019828
  2. [BC] A. Bahri, J.-M. Coron, On a nonlinear elliptic equation involving the critical Sobolev exponent: the effect of the topology of the domain, Comm. Pure Applied Math.41 (1988), pp. 255-294. Zbl0649.35033MR929280
  3. [BN1] H. Brézis, L. Nirenberg, Positive solutions of nonlinear equations involving critical Sobolev exponents, Comm. Pure Applied Math.36 (1983), pp. 437-477. Zbl0541.35029MR709644
  4. [BN2] H. Brézis, L. Nirenberg, A minimization problem with critical exponent and nonzero data, à paraître. Zbl0763.46023
  5. [BP] H. Brézis, L.A. Peletier, Asymptotics for elliptic equations involving critical growth, à paraître. Zbl0685.35013
  6. [H] Z.C. Han, Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent, à paraître. Zbl0729.35014
  7. [R1] O. Rey, The role of Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent, J. Funct. Analysis89 (1990), no. 1, pp. 1-52. Zbl0786.35059MR1040954
  8. [R2] O. Rey, A multiplicity result for a variational problem with lack of compactness, J. Nonlinear Anal. TMA, vol. 13, no. 10 (1989), pp. 1241-1249. Zbl0702.35101MR1020729
  9. [R3] O. Rey, Proof of two conjectures of H. Brézis and L.A. Peletier, ManuscriptaMath.65 (1989), pp. 19-37 Zbl0708.35032MR1006624
  10. [R4] O. Rey, Bifurcation from infinity in a nonlinear elliptic equation involving the limiting Sobolev exponent, à paraître au Duke Math. Journal (juin 1990). Zbl0711.35012MR1054534

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