Solutions with multiple peaks for nonlinear elliptic equations

Authors
Cao, DM Noussair, ES Yan, SS
Citation
Dm. Cao et al., Solutions with multiple peaks for nonlinear elliptic equations, P RS EDIN A, 129, 1999, pp. 235-264
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS
ISSN journal
03082105 → ACNP
Volume
129
Year of publication
1999
Part
2
Pages
235 - 264
Database
ISI
SICI code
0308-2105(1999)129:<235:SWMPFN>2.0.ZU;2-8
Abstract
Solutions with peaks near the critical points of Q(x) are constructed for t he problem -Delta u + lambda(2)u = Q(x)\u\(P-2)u, x is an element of R-N, u is an element of H-1 and 2 < p < (2N/(N - 2)). We establish the existence of 2(k) - 1 positive solutions when Q(x) has k n on-degenerate critical points in R-N.