MULTIPLICITY RESULTS FOR 2 CLASSES OF BOUNDARY-VALUE-PROBLEMS

Authors
KORMAN P OUYANG T
Citation
P. Korman et T. Ouyang, MULTIPLICITY RESULTS FOR 2 CLASSES OF BOUNDARY-VALUE-PROBLEMS, SIAM journal on mathematical analysis, 26(1), 1995, pp. 180-189
Citations number
13
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
26
Issue
1
Year of publication
1995
Pages
180 - 189
Database
ISI
SICI code
0036-1410(1995)26:1<180:MRF2CO>2.0.ZU;2-W
Abstract
Multiplicity results are provided for two classes of boundary-value pr oblems with cubic nonlinearities, depending on a parameter lambda. In particular, it is proved that for sufficiently large lambda, there are exactly two solutions, and that all solutions lie on a single smooth solution curve. The last fact allows one to use continuation technique s to compute all solutions.