caa a22 4500 465811620 CHVBK 20180323112117.0 cr unu---uuuuu 170327e19900601xx s 000 0 eng 10.1007/BF02107594 doi (NATIONALLICENCE)springer-10.1007/BF02107594 Zhiqiang Wang Institute of Mathematics, Academia Sinica, China aut Symmetries, morse polynomials and applications to bifurcation problems [Elektronische Daten] [Wang Zhiqiang] 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. Springer-Verlag, 1990 Acta Mathematica Sinica Springer-Verlag 6/2(1990-06-01), 165-177 1439-8516 6:2<165 1990 6 10114 https://doi.org/10.1007/BF02107594 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02107594 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhiqiang Wang Institute of Mathematics, Academia Sinica, China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica Springer-Verlag 6/2(1990-06-01), 165-177 1439-8516 6:2<165 1990 6 10114 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer