Abstract
In this paper,utilizing equivariant Mose theory for isolated critical orbits developed in [16] we study the versions of Morse identities under group actions,i.e.the global property of equivariant Morse theory. Combining the concept of critical multiplicity we give a lower bound of the critical multiplicities for a class of invariant functionals.As applications we study the bifuractions of a class of equivariant potential operators and generalize some results due to Benci and Pacella, Chang Rabinowitz, etc.
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