Bifurcation for Odd Potential Operators and an Alternative Topological Index.
Abstract
A bifurcation theorem is proved for odd potential operators. The operator equation (*) F'(U) = Lu + H(u) = lambda u is treated where lambda is a member of IR and u is a member of E, a real Hilbert space. A sharp description is given to the structure of the set of solutions of (*) near a bifurcation point as a function of lambda. A cruical role is played here by a notion of topological index alternative to other indices used in critical point theory and the properties of this index are developed in some detail.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1976
- Accession Number
- ADA031934
Entities
People
- Edward R. Fadell
- Paul Rabinowitz
Organizations
- University of Wisconsin–Madison