Multibumps analysis in dimension $2$ : Quantification of blow-up levels
Druet, O.
Duke Math. J., Tome 131 (2006) no. 1, p. 217-269 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
In this article, we describe the asymptotic behavior of sequences of solutions to some semilinear elliptic equations with critical exponential growth in planar domains. We prove, in particular, a result analogous to that of Struwe [12] in higher dimensions and extend the two-dimensional result of Adimurthi and Struwe [3] to arbitrary energies. We thus answer a question explicitly asked in this last article
Publié le : 2006-04-01
Classification:  35J60 
@article{1142517218,
     author = {Druet, O.},
     title = {Multibumps analysis in dimension $2$ : Quantification of blow-up levels},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 217-269},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1142517218}
}

Druet, O. Multibumps analysis in dimension $2$ : Quantification of blow-up levels. Duke Math. J., Tome 131 (2006) no. 1, pp.  217-269. http://gdmltest.u-ga.fr/item/1142517218/