论文标题
Fréchet歧管的一些关键点结果
Some critical point results for Fréchet manifolds
论文作者
论文摘要
我们证明了一个所谓的链接定理及其一些推论，即山传球定理和凯勒（Keller）$ c^1 $功能的三个关键点定理在$ c^1 $ - freechet歧管上功能。我们的方法取决于变形结果，而这种变形结果未通过考虑负伪梯度流来实现。此外，对于特里切特歧管之间的映射，我们根据宫殿的条件提供了一组足够的条件，该条件表明何时局部差异为全球性。
We prove a so-called linking theorem and some of its corollaries, namely a mountain pass theorem and a three critical points theorem for Keller $ C^1$-functional on $ C^1 $- Frechet manifolds. Our approach relies on a deformation result which is not implemented by considering the negative pseudo-gradient flows. Furthermore, for mappings between Frechet manifolds we provide a set of sufficient conditions in terms of the Palais-Smale condition that indicates when a local diffeomorphism is a global one.
