Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist

Authors
Li, SJ Perera, K Su, JB
Citation
Sj. Li et al., Computation of critical groups in elliptic boundary-value problems where the asymptotic limits may not exist, P RS EDIN A, 131, 2001, pp. 721-732
Citations number
19
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
131
Year of publication
2001
Part
3
Pages
721 - 732
Database
ISI
SICI code
0308-2105(2001)131:<721:COCGIE>2.0.ZU;2-8
Abstract
We compute critical groups in semilinear elliptic boundary-value problems i n which the nonlinear term may fail to have asymptotic limits at zero and a t infinity. As applications, we prove several new existence results.