Content area
Abstract
The relative critical point theory and the relative critical groups in locally convex closed subsets of Banach manifolds are studied in this dissertation. We prove the strong deformation theorem for relatively differentiable function defined on locally convex subsets of Banach manifolds. We show that a Mountain-pass type theorem can be obtained and the relative critical groups can be discussed in our case.
The relative critical points of the energy functional give solutions of the minimal surface problem. We show that a Morse-Shiffman type theorem can be obtained in locally convex closed subsets of Banach manifolds.
Details
Title
A study of the relative critical point theory and the critical groups in locally convex closed subsets of Banach manifolds
Author
Cui, Xianghao
Year
1996
ISBN
9798691294921
Source type
Dissertation or Thesis
Language of publication
English
ProQuest document ID
304299550
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
