The bordered operator and the index of a constrained critical point

Authors
Greenberg, L Maddocks, JH Hoffman, KA
Citation
L. Greenberg et al., The bordered operator and the index of a constrained critical point, MATH NACHR, 219, 2000, pp. 109-124
Citations number
23
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
219
Year of publication
2000
Pages
109 - 124
Database
ISI
SICI code
0025-584X(2000)219:<109:TBOATI>2.0.ZU;2-T
Abstract
It is shown that the index of a constrained critical point in the isoperime tric calculus of variations is simply related to the number of negative eig envalues of a certain bordered operator associated with the second variatio n. A conjugate point theory for this bordered operator is then established.