HIGHLIGHTS
- who: Liang Ding from the School of Statistics and, Zhongnan University China have published the article: On mountain pass theorem and its application to periodic solutions of some nonlinear discrete systems, in the Journal: (JOURNAL)
SUMMARY
And main results. C:=infγ ∈Γ maxt∈[0,1] ϕ(γ (t)), where Lemma 1.1 (Quantitative deformation lemma ) Let X be a Hilbert space, ϕ ∈ C 2 (X, R), c ∈ R, ε > 0. There exists η ∈ C(X, X), such that (i) η(u)=u, ∀u ∈/ ϕ -1 ([c - 2ε, c + 2ε]); (ii) η(ϕ c+ε ) ⊂ ϕ c-ε, where ϕ c-ε:=ϕ -1 ((-∞, c - ε]). A few years later, this . . .
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