On a variational problem with lack of compactness: the topological effect of the critical points at infinity

@article{Bahri1995OnAV,
  title={On a variational problem with lack of compactness: the topological effect of the critical points at infinity},
  author={A. Bahri and Yanyan Li and O. Rey},
  journal={Calculus of Variations and Partial Differential Equations},
  year={1995},
  volume={3},
  pages={67-93}
}
  • A. Bahri, Yanyan Li, O. Rey
  • Published 1995
  • Mathematics
  • Calculus of Variations and Partial Differential Equations
  • RésuméNous étudions les problèmes sous-critiquesPɛ:−Δu=up−ɛ,u > 0 surΩ;u=0 sur ∂Ω−oùΩ est un domaine borné et régulier de ℝN,N−3,p + 1=2N/N −2 est l'exposant critique de Sobolev, et ɛ>0 tend vers zéro, afin de calculer la différence de toplogie induite par les points critiques à l'infini entre les ensembles de niveau de la fonctionnelle correspondant au cas limite (P0).AbstractWe study the subcritical problemsPɛ:−Δu=up−ɛ,u>0 onΩ;u=0 on ∂Ω,ω being a smooth and bounded domain in ℝN,N−3,p+1=2N/N−2… CONTINUE READING
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