On a variational problem with lack of compactness: the topological effect of the critical points at infinity
Bahri, Abbas ; Li, Yanyan ; Rey, Olivier
HAL, hal-00943456 / Harvested from HAL
Text on HAL
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).
Publié le : 1995-07-04
Classification:  Critical points at infinity,  Nonlinear elliptic equations,  Limiting Sobolev exponent,  [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP] 
@article{hal-00943456,
     author = {Bahri, Abbas and Li, Yanyan and Rey, Olivier},
     title = {On a variational problem with lack of compactness: the topological effect of the critical points at infinity},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00943456}
}

Bahri, Abbas; Li, Yanyan; Rey, Olivier. On a variational problem with lack of compactness: the topological effect of the critical points at infinity. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00943456/