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arXiv · 1211.2128

The splitting lemmas for nonsmooth functionals on Hilbert spaces II. The case at infinity

Guangcun Lu
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Abstract

We generalize the Bartsch-Li's splitting lemma at infinity for $C^2$-functionals in [2] and some later variants of it to a class of continuously directional differentiable functionals on Hilbert spaces. Different from the previous flow methods our proof is to combine the ideas of the Morse-Palais lemma due to Duc-Hung-Khai [9] with some techniques from [11], [17], [18]. A simple application is also presented.

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Guangcun Lu. 2012-11-06. The splitting lemmas for nonsmooth functionals on Hilbert spaces II. The case at infinity. https://arxiv.org/abs/1211.2128

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