Zhao, Jihong; Liu, Qiao; Cui, Shangbin Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows. (English) Zbl 1264.35007 Commun. Pure Appl. Anal. 12, No. 1, 341-357 (2013). MSC: 35A02 35A01 35B35 35Q30 76A15 35B44 PDFBibTeX XMLCite \textit{J. Zhao} et al., Commun. Pure Appl. Anal. 12, No. 1, 341--357 (2013; Zbl 1264.35007) Full Text: DOI arXiv
Deng, Chao; Cui, Shangbin Well-posedness of the viscous Boussinesq system in Besov spaces of negative regular index \(s = -1\). (English) Zbl 1277.76010 J. Math. Phys. 53, No. 7, 073101, 15 p. (2012). MSC: 76D03 76R05 76E20 35L15 35Q35 PDFBibTeX XMLCite \textit{C. Deng} and \textit{S. Cui}, J. Math. Phys. 53, No. 7, 073101, 15 p. (2012; Zbl 1277.76010) Full Text: DOI arXiv
Liu, Qiao; Cui, Shangbin Well-posedness for the incompressible magneto-hydrodynamic system on modulation spaces. (English) Zbl 1234.35008 J. Math. Anal. Appl. 389, No. 2, 741-753 (2012). MSC: 35A01 35A02 76W05 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{S. Cui}, J. Math. Anal. Appl. 389, No. 2, 741--753 (2012; Zbl 1234.35008) Full Text: DOI
Bai, Meng; Cui, Shangbin Global existence and uniqueness for a nonlinear cell population model with age structure. (Chinese. English summary) Zbl 1240.35581 Acta Math. Appl. Sin. 33, No. 5, 910-919 (2010). MSC: 35R35 35A01 35A02 92B05 PDFBibTeX XMLCite \textit{M. Bai} and \textit{S. Cui}, Acta Math. Appl. Sin. 33, No. 5, 910--919 (2010; Zbl 1240.35581)
Xu, Shihe; Cui, Shangbin A free boundary problem modeling tumor growth with time delays. (Chinese. English summary) Zbl 1212.35518 Appl. Math., Ser. A (Chin. Ed.) 24, No. 3, 301-305 (2009). MSC: 35R35 35Q92 92C37 PDFBibTeX XMLCite \textit{S. Xu} and \textit{S. Cui}, Appl. Math., Ser. A (Chin. Ed.) 24, No. 3, 301--305 (2009; Zbl 1212.35518)
Wei, Xuemei; Cui, Shangbin Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth. (English) Zbl 1156.35390 Nonlinear Anal., Real World Appl. 9, No. 5, 1827-1836 (2008). MSC: 35K35 35Q80 35R05 PDFBibTeX XMLCite \textit{X. Wei} and \textit{S. Cui}, Nonlinear Anal., Real World Appl. 9, No. 5, 1827--1836 (2008; Zbl 1156.35390) Full Text: DOI
Wei, Xuemei; Cui, Shangbin Global well-posedness for a drug transport model in tumor multicell spheroids. (English) Zbl 1165.35318 Math. Comput. Modelling 45, No. 5-6, 553-563 (2007). MSC: 35B30 35K57 35R35 92C50 92C37 PDFBibTeX XMLCite \textit{X. Wei} and \textit{S. Cui}, Math. Comput. Modelling 45, No. 5--6, 553--563 (2007; Zbl 1165.35318) Full Text: DOI
Wang, Hua; Cui, Shangbin Well-posedness of the Cauchy problem of Ostrovsky equation in anisotropic Sobolev spaces. (English) Zbl 1116.35047 J. Math. Anal. Appl. 327, No. 1, 88-100 (2007). MSC: 35G25 35A05 PDFBibTeX XMLCite \textit{H. Wang} and \textit{S. Cui}, J. Math. Anal. Appl. 327, No. 1, 88--100 (2007; Zbl 1116.35047) Full Text: DOI
Wei, Xuemei; Cui, Shangbin Existence and uniqueness of global solutions of a free boundary problem modeling tumor growth. (Chinese. English summary) Zbl 1220.35198 Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 1, 1-8 (2006). Reviewer: K. Mathiak (Braunschweig) MSC: 35R35 35Q92 92C50 PDFBibTeX XMLCite \textit{X. Wei} and \textit{S. Cui}, Acta Math. Sci., Ser. A, Chin. Ed. 26, No. 1, 1--8 (2006; Zbl 1220.35198)
Cui, Shangbin; Wei, Xuemei Global existence for a parabolic-hyperbolic free boundary problem modelling tumor growth. (English) Zbl 1104.35072 Acta Math. Appl. Sin., Engl. Ser. 21, No. 4, 597-614 (2005). MSC: 35R35 35Q80 35K35 35R05 92C37 PDFBibTeX XMLCite \textit{S. Cui} and \textit{X. Wei}, Acta Math. Appl. Sin., Engl. Ser. 21, No. 4, 597--614 (2005; Zbl 1104.35072) Full Text: DOI
Guo, Cuihua; Cui, Shangbin Solutions for higher-order Schrödinger equation with potentials. (Chinese. English summary) Zbl 1088.35509 Acta Sci. Nat. Univ. Sunyatseni 44, No. 5, 10-13 (2005). MSC: 35G10 35B40 PDFBibTeX XMLCite \textit{C. Guo} and \textit{S. Cui}, Acta Sci. Nat. Univ. Sunyatseni 44, No. 5, 10--13 (2005; Zbl 1088.35509)
Guo, Ai; Cui, Shangbin Global solution for the nonlinear wave equations with acoustic boundary conditions. (Chinese. English summary) Zbl 1090.35545 Acta Sci. Nat. Univ. Sunyatseni 43, No. 4, 5-9 (2004). MSC: 35L70 35L20 35A05 35B45 PDFBibTeX XMLCite \textit{A. Guo} and \textit{S. Cui}, Acta Sci. Nat. Univ. Sunyatseni 43, No. 4, 5--9 (2004; Zbl 1090.35545)
Cui, Shangbin On a free boundary problem modeling the growth of necrotic tumors. (English) Zbl 1075.35095 Kenmochi, N. (ed.) et al., Proceedings of the international conference on nonlinear partial differential equations and their applications, Shanghai, China, November 23–27, 2003. Tokyo: Gakkōtosho (ISBN 4-7625-0429-7/hbk). GAKUTO International Series. Mathematical Sciences and Applications 20, 407-417 (2004). Reviewer: Yves Cherruault (Paris) MSC: 35Q80 35K55 35R35 92C15 PDFBibTeX XMLCite \textit{S. Cui}, GAKUTO Int. Ser., Math. Sci. Appl. 20, 407--417 (2004; Zbl 1075.35095)
Cui, Shangbin; Friedman, Avner A hyperbolic free boundary problem modeling tumor growth. (English) Zbl 1040.35143 Interfaces Free Bound. 5, No. 2, 159-181 (2003). Reviewer: Antonio Fasano (Firenze) MSC: 35R35 92D25 92C17 35Q80 PDFBibTeX XMLCite \textit{S. Cui} and \textit{A. Friedman}, Interfaces Free Bound. 5, No. 2, 159--181 (2003; Zbl 1040.35143) Full Text: DOI
Cui, Shangbin; Friedman, Avner Analysis of a mathematical model of the growth of necrotic tumors. (English) Zbl 0984.35169 J. Math. Anal. Appl. 255, No. 2, 636-677 (2001). Reviewer: Antonio Fasano (Firenze) MSC: 35R35 92C50 35B40 PDFBibTeX XMLCite \textit{S. Cui} and \textit{A. Friedman}, J. Math. Anal. Appl. 255, No. 2, 636--677 (2001; Zbl 0984.35169) Full Text: DOI Link
Cui, Shangbin Existence and nonexistence of positive solutions for singular semilinear elliptic boundary value problems. (English) Zbl 0955.35026 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1-2, 149-176 (2000). Reviewer: Bronius Kvedaras (Vilnius) MSC: 35J65 35J70 35J25 35A05 35B05 PDFBibTeX XMLCite \textit{S. Cui}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1--2, 149--176 (2000; Zbl 0955.35026) Full Text: DOI
Cui, Shangbin Some comparison and uniqueness theorems for nonlinear elliptic boundary value problems and nonlinear parabolic initial-boundary value problems. (English) Zbl 0880.35011 Nonlinear Anal., Theory Methods Appl. 29, No. 9, 1079-1090 (1997). Reviewer: Charles A.Swanson (Vancouver) MSC: 35B05 35J65 35K60 PDFBibTeX XMLCite \textit{S. Cui}, Nonlinear Anal., Theory Methods Appl. 29, No. 9, 1079--1090 (1997; Zbl 0880.35011) Full Text: DOI
Qu, Changzheng; Cui, Shangbin The eigenvalue problem of the complex Monge-Ampère equation. (Chinese. English summary) Zbl 0847.35092 Pure Appl. Math. 11, No. 2, 37-40 (1995). MSC: 35P05 35F20 30E25 PDFBibTeX XMLCite \textit{C. Qu} and \textit{S. Cui}, Pure Appl. Math. 11, No. 2, 37--40 (1995; Zbl 0847.35092)
Cui, Shangbin Local solvability for a class of linear partial differential operators with multiple characteristics. (Chinese. English summary) Zbl 0838.35002 Pure Appl. Math. 11, No. 2, 9-14 (1995). MSC: 35A07 35G10 PDFBibTeX XMLCite \textit{S. Cui}, Pure Appl. Math. 11, No. 2, 9--14 (1995; Zbl 0838.35002)
Cui, Shangbin Local solvability of left-invariant differential operators LPDO with controllable lower-order terms on the Heisenberg group. (Chinese) Zbl 0761.35001 Chin. Ann. Math., Ser. A 12, No. 6, 754-765 (1991). Reviewer: Na Jisheng (Beijing) MSC: 35A07 43A80 35B37 PDFBibTeX XMLCite \textit{S. Cui}, Chin. Ann. Math., Ser. A 12, No. 6, 754--765 (1991; Zbl 0761.35001)
Cui, Shangbin On the Cauchy problems of the Mizohata type equation. (Chinese. English summary) Zbl 0693.35030 J. Lanzhou Univ., Nat. Sci. 24, No. 2, 8-17 (1988). MSC: 35F10 35A07 PDFBibTeX XMLCite \textit{S. Cui}, J. Lanzhou Univ., Nat. Sci. 24, No. 2, 8--17 (1988; Zbl 0693.35030)
Cui, Shangbin Comparison principles and uniqueness theorems for nonlinear elliptic boundary value problems. (Chinese. English summary) Zbl 0617.35043 J. Lanzhou Univ., Nat. Sci. 22, No. 3, 8-14 (1986). MSC: 35J60 35B05 35A05 PDFBibTeX XMLCite \textit{S. Cui}, J. Lanzhou Univ., Nat. Sci. 22, No. 3, 8--14 (1986; Zbl 0617.35043)