Duan, Huagui; Liu, Hui; Long, Yiming; Wang, Wei Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond. (English) Zbl 07807087 J. Funct. Anal. 286, No. 7, Article ID 110352, 41 p. (2024). MSC: 53A07 53C22 58E05 37J46 34C25 PDFBibTeX XMLCite \textit{H. Duan} et al., J. Funct. Anal. 286, No. 7, Article ID 110352, 41 p. (2024; Zbl 07807087) Full Text: DOI arXiv
Duan, Huagui; Liu, Hui; Ren, Wenyan A dichotomy result for closed characteristics on compact star-shaped hypersurfaces in \(\mathbf{R}^{2n}\). (English) Zbl 1515.52004 Math. Z. 302, No. 2, 743-757 (2022). Reviewer: Ugur Sengul (İstanbul) MSC: 52A30 58E05 34C25 PDFBibTeX XMLCite \textit{H. Duan} et al., Math. Z. 302, No. 2, 743--757 (2022; Zbl 1515.52004) Full Text: DOI arXiv
Duan, Hua Gui; Liu, Hui; Long, Yi Ming; Wang, Wei Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\). (English) Zbl 1383.58007 Acta Math. Sin., Engl. Ser. 34, No. 1, 1-18 (2018). MSC: 58E05 37J45 34C25 PDFBibTeX XMLCite \textit{H. G. Duan} et al., Acta Math. Sin., Engl. Ser. 34, No. 1, 1--18 (2018; Zbl 1383.58007) Full Text: DOI arXiv
Duan, Huagui; Liu, Hui Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\). (English) Zbl 1379.58005 Calc. Var. Partial Differ. Equ. 56, No. 3, Paper No. 65, 30 p. (2017). Reviewer: Zdzisław Dzedzej (Gdansk) MSC: 58E05 37J45 34C25 34A26 PDFBibTeX XMLCite \textit{H. Duan} and \textit{H. Liu}, Calc. Var. Partial Differ. Equ. 56, No. 3, Paper No. 65, 30 p. (2017; Zbl 1379.58005) Full Text: DOI arXiv