On An Asymptotic Critical Point Theorem Of Invariant Functional Of Group Acting And Its Applications

In this paper, an asymptotic critical point theorem of invariant functional of group acting is proved with a generalized Ekeland's principle. Prom which, a generalized fountain theorem is presented, On the base of them, the author study a kind of elliptic PDE problem. Under a more general conditions, the existence of multiple solutions of the problem is abtained.