Bifurcation for Odd Potential Operators and an Alternative Topological Index.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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A bifurcation theorem is proved for odd potential operators. The operator equation FU Lu Hu 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.
- Theoretical Mathematics