 |
| Shibo Liu (1975.11--), Ph.D |
| Professor of Mathematics |
| email: liusb@xmu.edu.cn |
| URL: http://www.liusb.com |
|
Nonlinear Analysis, Nonlinear Differential Equations
- 2011.10--present, Professor, Xiamen University.
- 2008.8-2011.8, Professor, Shantou University.
- 2005.7-2008.7, Associate Professor, Xiamen University.
- 2003.7-2005.6, Postdoc Fellow, Peking University.
- 2000.9-2003.6, Ph.D., Institute of Mathematics, Chinese Academy of
Sciences, Beijing China.
- 1997.9-2000.6, M.Sc., Department of Mathematics, Lanzhou University,
Lanzhou China.
- 1993.9-1997.6, B.Sc., M.Sc., Department of Mathematics, Lanzhou
University, Lanzhou China.
Mathematical Analysis, Real Analysis, Topology, Partial Differential
Equations, Differential Geometry.
- Strongly indefinite and noncompact variational problems, NSFC grant
11171204, 2012.1-1015.12, PI.
- Critical groups and multiple solutions of nonlinear differential
equations, NSFC grant 10601041, 2007.1-2009.12, PI.
- S.B. Liu, On suplinear Schrödinger equations with periodic potential,
Calc. Var. Partial Differential Equations, (2012) in press.
- S.B. Liu, Multiple periodic solutions for nonlinear difference systems
involving the
-Laplacian, J. Differ. Equ. Appl., 17 (2011), 1591-1598.
- C.O. Alves, S.B. Liu, On superlinear
-Laplacian equations in
, Nonlinear Anal., 73 (2010), 2566-2579.
- S.B. Liu, On the regularity of operators near regular operator, Amer.
Math. Monthly, 117 (2010), 927-928.
- S.B. Liu, Nontrivial solutions for elliptic resonant problems, Nonlinear
Anal., 70 (2009), 1965-1974.
- S.B. Liu, Multiple solutions for elliptic resonant problems, Proc. Roy.
Soc. Edinburgh, 138 (2008), 1281-1289.
- S.B. Liu, Remarks on multiple solutions for elliptic resonant problems,
J. Math. Anal. Appl., 336 (2007), 498-505.
- S.B. Liu, Multiple solutions for coercive
-Laplacian equations, J.
Math. Anal. Appl., 316 (2006), 229-236.
- S.B. Liu, S.J. Li, Existence of solutions for asymptotically `linear'
-Laplacian equations, Bull. London Math. Soc., 36 (2004), 81-87.
- S.B. Liu, S.J. Li, Critical groups at infinity, saddle point reduction and
elliptic resonant problems, Commun. Contemp. Math., 5 (2003), 761-773.
- The
National Conference on Nonlinear Functional
Analysis, 2010.11, Xiamen China.
Title: Critical groups under saddle point reduction and elliptic resonant
problems with variable coefficients.
- 7th AIMS International Conference on Dyn. Systems, Diff. Equations and
Applications, 2008.5, Arlington Texas USA.
Title: Lyapunov-Schmidt reduction, critical groups and mulltiple solutions of
elliptic resonant problems.
- Workshop and Conference on Recent Trends in Nonlinear Variational
Problems, 2003.4, Abdus Salam ICTP, Trieste Italy.
- Satellite Conference on Nonlinear Functional Analysis, ICM 2002, 2002.8,
Taiyuan, China.
Title: Critical groups at infinity, saddle point reduction and elliptic
resonant problems.
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