On a variational problem with lack of compactness: the topological effect of the critical points at infinity
Résumé
We study the subcritical problems (P_ɛ) : −Δu = u^(p−ɛ), u>0 on Ω, u=0 on ∂Ω, Ω being a smooth and bounded domain in ℝ^N, N≥3, p+1=2N/N−2 the critical Sobolev exponent and ɛ>0 going to zero — in order to compute the difference of topology that the critical points at infinity induce between the level sets of the functional corresponding to the limit case (P_0).
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|