Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 1491.35405 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q55 39A12 39A70 35A01 35B38 35A15 37C29 PDFBibTeX XMLCite \textit{G. Lin} and \textit{J. Yu}, SIAM J. Math. Anal. 54, No. 2, 1966--2005 (2022; Zbl 1491.35405) Full Text: DOI
Lin, Genghong; Yu, Jianshe Existence of a ground-state and infinitely many homoclinic solutions for a periodic discrete system with sign-changing mixed nonlinearities. (English) Zbl 1486.39023 J. Geom. Anal. 32, No. 4, Paper No. 127, 35 p. (2022). MSC: 39A27 39A12 39A22 39A70 PDFBibTeX XMLCite \textit{G. Lin} and \textit{J. Yu}, J. Geom. Anal. 32, No. 4, Paper No. 127, 35 p. (2022; Zbl 1486.39023) Full Text: DOI
Lin, Genghong; Zhou, Zhan; Yu, Jianshe Ground state solutions of discrete asymptotically linear Schrödinger equations with bounded and non-periodic potentials. (English) Zbl 1439.39010 J. Dyn. Differ. Equations 32, No. 2, 527-555 (2020). MSC: 39A36 39A22 39A12 35Q55 PDFBibTeX XMLCite \textit{G. Lin} et al., J. Dyn. Differ. Equations 32, No. 2, 527--555 (2020; Zbl 1439.39010) Full Text: DOI
Lin, Genghong; Yu, Jianshe; Zhou, Zhan Homoclinic solutions of discrete nonlinear Schrödinger equations with partially sublinear nonlinearities. (English) Zbl 1417.39027 Electron. J. Differ. Equ. 2019, Paper No. 96, 14 p. (2019). MSC: 39A14 35Q55 PDFBibTeX XMLCite \textit{G. Lin} et al., Electron. J. Differ. Equ. 2019, Paper No. 96, 14 p. (2019; Zbl 1417.39027) Full Text: Link
Lin, Genghong; Zhou, Zhan Homoclinic solutions of discrete \(\phi\)-Laplacian equations with mixed nonlinearities. (English) Zbl 1396.39008 Commun. Pure Appl. Anal. 17, No. 5, 1723-1747 (2018). MSC: 39A14 35J05 39A12 PDFBibTeX XMLCite \textit{G. Lin} and \textit{Z. Zhou}, Commun. Pure Appl. Anal. 17, No. 5, 1723--1747 (2018; Zbl 1396.39008) Full Text: DOI
Lin, Genghong; Zhou, Zhan Homoclinic solutions in periodic difference equations with mixed nonlinearities. (English) Zbl 1348.39003 Math. Methods Appl. Sci. 39, No. 2, 245-260 (2016). Reviewer: Petr Zemanek (Brno) MSC: 39A10 39A12 34C37 39A23 PDFBibTeX XMLCite \textit{G. Lin} and \textit{Z. Zhou}, Math. Methods Appl. Sci. 39, No. 2, 245--260 (2016; Zbl 1348.39003) Full Text: DOI
Lin, Genghong; Zhou, Zhan Homoclinic solutions of a class of nonperiodic discrete nonlinear systems in infinite higher dimensional lattices. (English) Zbl 1470.39029 Abstr. Appl. Anal. 2014, Article ID 436529, 7 p. (2014). MSC: 39A22 34A33 34C37 PDFBibTeX XMLCite \textit{G. Lin} and \textit{Z. Zhou}, Abstr. Appl. Anal. 2014, Article ID 436529, 7 p. (2014; Zbl 1470.39029) Full Text: DOI
Lin, Genghong; Zhou, Zhan Periodic and subharmonic solutions for a \(2n\)th-order difference equation containing both advance and retardation with \( \phi\)-Laplacian. (English) Zbl 1347.39016 Adv. Difference Equ. 2014, Paper No. 74, 14 p. (2014). MSC: 39A23 39A10 PDFBibTeX XMLCite \textit{G. Lin} and \textit{Z. Zhou}, Adv. Difference Equ. 2014, Paper No. 74, 14 p. (2014; Zbl 1347.39016) Full Text: DOI