On topological degree for potential operators of class ( S)

We extend some results of Amann about the topological degree for compact potential vector fields to potential operators of class ( S) +. Using these results, we obtain the existence of a third buckled state of a thin elastic shell in R 3 even in the case when the gradient of the potential energy of...

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Bibliographic Details
Published in:Nonlinear analysis 2003-12, Vol.55 (7), p.951-968
Main Authors: Duc, Duong Minh, Luc, Nguyen Le, Nam, Le Quang, Tuyen, Truong Trung
Format: Article
Language:English
Subjects:
Buckling
Exact sciences and technology
Mathematical analysis
Mathematics
Operator theory
Potential operators
Sciences and techniques of general use
Shells
Topological degree
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Summary:We extend some results of Amann about the topological degree for compact potential vector fields to potential operators of class ( S) +. Using these results, we obtain the existence of a third buckled state of a thin elastic shell in R 3 even in the case when the gradient of the potential energy of the shell might not be compact.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2003.07.016