Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 07504991 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q51 35Q55 39A12 39A70 PDF BibTeX XML Cite \textit{G. Lin} and \textit{J. Yu}, SIAM J. Math. Anal. 54, No. 2, 1966--2005 (2022; Zbl 07504991) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{G. Lin} et al., J. Dyn. Differ. Equations 32, No. 2, 527--555 (2020; Zbl 1439.39010) Full Text: DOI OpenURL
Sun, Jijiang; Ma, Shiwang Multiple solutions for discrete periodic nonlinear Schrödinger equations. (English) Zbl 1360.81152 J. Math. Phys. 56, No. 2, 022110, 16 p. (2015). MSC: 81Q05 81Q10 35Q55 39A12 PDF BibTeX XML Cite \textit{J. Sun} and \textit{S. Ma}, J. Math. Phys. 56, No. 2, 022110, 16 p. (2015; Zbl 1360.81152) Full Text: DOI OpenURL
Ma, Shiwang; Wang, Zhi-Qiang Multibump solutions for discrete periodic nonlinear Schrödinger equations. (English) Zbl 1280.35139 Z. Angew. Math. Phys. 64, No. 5, 1413-1442 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35Q51 39A12 39A70 78A40 PDF BibTeX XML Cite \textit{S. Ma} and \textit{Z.-Q. Wang}, Z. Angew. Math. Phys. 64, No. 5, 1413--1442 (2013; Zbl 1280.35139) Full Text: DOI OpenURL
Shi, Haiping Gap solitons in periodic discrete Schrödinger equations with nonlinearity. (English) Zbl 1190.35192 Acta Appl. Math. 109, No. 3, 1065-1075 (2010). MSC: 35Q51 35Q55 39A70 35A15 PDF BibTeX XML Cite \textit{H. Shi}, Acta Appl. Math. 109, No. 3, 1065--1075 (2010; Zbl 1190.35192) Full Text: DOI OpenURL
Shi, Haiping; Zhang, Hongqiang Existence of gap solitons in periodic discrete nonlinear Schrödinger equations. (English) Zbl 1178.35351 J. Math. Anal. Appl. 361, No. 2, 411-419 (2010). MSC: 35Q55 35A15 58E05 39A12 PDF BibTeX XML Cite \textit{H. Shi} and \textit{H. Zhang}, J. Math. Anal. Appl. 361, No. 2, 411--419 (2010; Zbl 1178.35351) Full Text: DOI OpenURL