We extend to dimension 33 a result previously known in higher dimensions, concerning the topological effect of critical points at infinity on the level sets of a functional associated to an elliptic problem with critical nonlinearity.
Publié le : 1999-07-04
Classification:
Variational problems with lack of compactness,
Nonlinear elliptic PDEs,
Critical points at infinity,
Limiting Sobolev exponent,
[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
@article{hal-00943490,
author = {Rey, Olivier},
title = {The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension 3},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00943490}
}
Rey, Olivier. The topological impact of critical points at infinity in a variational problem with lack of compactness: the dimension 3. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00943490/