Ding, Lei; Sun, Mingzheng; Tian, Rushun A remark on the Ambrosetti-Prodi type problem. (English) Zbl 1445.35178 Appl. Math. Lett. 111, Article ID 106648, 7 p. (2021). MSC: 35J91 35J61 35J20 35J25 49J45 58E05 PDF BibTeX XML Cite \textit{L. Ding} et al., Appl. Math. Lett. 111, Article ID 106648, 7 p. (2021; Zbl 1445.35178) Full Text: DOI
Sun, Mingzheng; Chen, Yutong; Tian, Rushun Some perturbation results of Kirchhoff type equations via Morse theory. (English) Zbl 07254121 Fixed Point Theory Appl. 2020, Paper No. 10, 16 p. (2020). MSC: 35J65 35J20 47J10 PDF BibTeX XML Cite \textit{M. Sun} et al., Fixed Point Theory Appl. 2020, Paper No. 10, 16 p. (2020; Zbl 07254121) Full Text: DOI
Chen, Yutong; Su, Jiabao; Sun, Mingzheng; Tian, Rushun Multiple solutions for the coercive semilinear elliptic equations. (English) Zbl 1436.35195 J. Math. Anal. Appl. 487, No. 2, Article ID 124031, 12 p. (2020). MSC: 35J91 35A01 PDF BibTeX XML Cite \textit{Y. Chen} et al., J. Math. Anal. Appl. 487, No. 2, Article ID 124031, 12 p. (2020; Zbl 1436.35195) Full Text: DOI
Su, Jiabao; Tian, Rushun; Zhao, Leiga Bifurcations of elliptic systems with linear couplings. (English) Zbl 1428.35035 Appl. Math. Lett. 100, Article ID 106042, 6 p. (2020). MSC: 35B32 35J57 35J61 PDF BibTeX XML Cite \textit{J. Su} et al., Appl. Math. Lett. 100, Article ID 106042, 6 p. (2020; Zbl 1428.35035) Full Text: DOI
Tian, Rushun; Wang, Zhi-Qiang; Zhao, Leiga Schrödinger systems with quadratic interactions. (English) Zbl 1437.35276 Commun. Contemp. Math. 21, No. 8, Article ID 1850077, 20 p. (2019). Reviewer: Huansong Zhou (Wuhan) MSC: 35J57 35J91 35J50 PDF BibTeX XML Cite \textit{R. Tian} et al., Commun. Contemp. Math. 21, No. 8, Article ID 1850077, 20 p. (2019; Zbl 1437.35276) Full Text: DOI
Su, Jiabao; Tian, Rushun; Wang, Zhi-Qiang Positive solutions of doubly coupled multicomponent nonlinear Schrödinger systems. (English) Zbl 1425.35033 Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 2143-2161 (2019). MSC: 35J47 35J61 35B09 35A01 35B32 PDF BibTeX XML Cite \textit{J. Su} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 2143--2161 (2019; Zbl 1425.35033) Full Text: DOI
Dai, Guowei; Tian, Rushun; Zhang, Zhitao Global bifurcations and a priori bounds of positive solutions for coupled nonlinear Schrödinger systems. (English) Zbl 1419.35181 Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 1905-1927 (2019). MSC: 35Q55 35B32 37K10 PDF BibTeX XML Cite \textit{G. Dai} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 7, 1905--1927 (2019; Zbl 1419.35181) Full Text: DOI
Bartsch, Thomas; Tian, Rushun; Wang, Zhi-Qiang Bifurcations for a coupled Schrödinger system with multiple components. (English) Zbl 1330.35134 Z. Angew. Math. Phys. 66, No. 5, 2109-2123 (2015). MSC: 35J57 35B09 35B32 35J10 35J47 35J61 58C40 PDF BibTeX XML Cite \textit{T. Bartsch} et al., Z. Angew. Math. Phys. 66, No. 5, 2109--2123 (2015; Zbl 1330.35134) Full Text: DOI arXiv
Tian, Rushun; Zhang, Zhitao Existence and bifurcation of solutions for a double coupled system of Schrödinger equations. (English) Zbl 1326.35133 Sci. China, Math. 58, No. 8, 1607-1620 (2015). MSC: 35J50 35B32 35B38 35B09 35J47 PDF BibTeX XML Cite \textit{R. Tian} and \textit{Z. Zhang}, Sci. China, Math. 58, No. 8, 1607--1620 (2015; Zbl 1326.35133) Full Text: DOI arXiv
Tian, Rushun; Sun, Mingzheng; Zhao, Leiga Applications of Morse theory to some nonlinear elliptic equations with resonance at zero. (English) Zbl 1304.35309 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 87-93 (2015). MSC: 35J92 58E05 35B34 PDF BibTeX XML Cite \textit{R. Tian} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 87--93 (2015; Zbl 1304.35309) Full Text: DOI
Nguyen, Nghiem V.; Tian, Rushun; Wang, Zhi-Qiang Stability of traveling-wave solutions for a Schrödinger system with power-type nonlinearities. (English) Zbl 1303.35102 Electron. J. Differ. Equ. 2014, Paper No. 217, 16 p. (2014). MSC: 35Q55 35A15 35B35 35Q35 35C08 PDF BibTeX XML Cite \textit{N. V. Nguyen} et al., Electron. J. Differ. Equ. 2014, Paper No. 217, 16 p. (2014; Zbl 1303.35102) Full Text: EMIS
Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. (English) Zbl 1286.35230 J. Math. Phys. 54, No. 1, 011503, 19 p. (2013). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 35Q55 35A01 35B44 PDF BibTeX XML Cite \textit{N. V. Nguyen} et al., J. Math. Phys. 54, No. 1, 011503, 19 p. (2013; Zbl 1286.35230) Full Text: DOI
Deconinck, Bernard; Sheils, Natalie E.; Nguyen, Nghiem V.; Tian, Rushun On the spectral stability of solitary wave solutions of the vector nonlinear Schrödinger equation. (English) Zbl 1287.35078 J. Phys. A, Math. Theor. 46, No. 41, Article ID 415202, 21 p. (2013). Reviewer: Jiansheng Geng (Nanjing) MSC: 35Q55 37K45 PDF BibTeX XML Cite \textit{B. Deconinck} et al., J. Phys. A, Math. Theor. 46, No. 41, Article ID 415202, 21 p. (2013; Zbl 1287.35078) Full Text: DOI
Tian, Rushun; Wang, Zhi-Qiang Bifurcation results of positive solutions for an indefinite nonlinear elliptic system. II. (English) Zbl 1277.35162 Adv. Nonlinear Stud. 13, No. 1, 245-262 (2013). MSC: 35J47 35B32 35B09 PDF BibTeX XML Cite \textit{R. Tian} and \textit{Z.-Q. Wang}, Adv. Nonlinear Stud. 13, No. 1, 245--262 (2013; Zbl 1277.35162) Full Text: DOI
Tian, Rushun; Wang, Zhi-Qiang Bifurcation results on positive solutions of an indefinite nonlinear elliptic system. (English) Zbl 06146691 Discrete Contin. Dyn. Syst. 33, No. 1, 335-344 (2013). MSC: 35B05 35J61 58C40 35J15 58E07 PDF BibTeX XML Cite \textit{R. Tian} and \textit{Z.-Q. Wang}, Discrete Contin. Dyn. Syst. 33, No. 1, 335--344 (2013; Zbl 06146691) Full Text: DOI
Su, Jiabao; Tian, Rushun Weighted Sobolev type embeddings and coercive quasilinear elliptic equations on \(\mathbb {R}^{N}\). (English) Zbl 1238.35034 Proc. Am. Math. Soc. 140, No. 3, 891-903 (2012). MSC: 35J62 35J05 35J20 35J60 58C20 PDF BibTeX XML Cite \textit{J. Su} and \textit{R. Tian}, Proc. Am. Math. Soc. 140, No. 3, 891--903 (2012; Zbl 1238.35034) Full Text: DOI
Tian, Rushun; Wang, Zhi-Qiang Multiple solitary wave solutions of nonlinear Schrödinger systems. (English) Zbl 1255.35101 Topol. Methods Nonlinear Anal. 37, No. 2, 203-223 (2011). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35J57 35J61 PDF BibTeX XML Cite \textit{R. Tian} and \textit{Z.-Q. Wang}, Topol. Methods Nonlinear Anal. 37, No. 2, 203--223 (2011; Zbl 1255.35101)
Su, Jiabao; Tian, Rushun Weighted Sobolev embeddings and radial solutions of inhomogeneous quasilinear elliptic equations. (English) Zbl 1200.35143 Commun. Pure Appl. Anal. 9, No. 4, 885-904 (2010). MSC: 35J62 35J05 35J20 58C20 46E35 PDF BibTeX XML Cite \textit{J. Su} and \textit{R. Tian}, Commun. Pure Appl. Anal. 9, No. 4, 885--904 (2010; Zbl 1200.35143) Full Text: DOI