CurriculumVitae for XMUM Official Website

BIOGRAPHY

I was born in 1975, Guangdong China. My educational and professional experience can be found below. As a professor of mathematics, I usually teach Mathematical Analysis, Real Analysis, and Differential Equations. Items 2 and 3 of my Representative Publications were originated from my teaching of Mathematical Analysis and can be understood by undergraduate students.

RESEARCH INTERESTS

Nonlinear Functional Analysis, Variational Methods for Nonlinear Differential Equations

EDUCATIONAL BACKGROUND

• PhD (Mathematics), Institute of Mathematics, Chinese Academy of Sciences, China (2003)

• MSc (Mathematics), Lanzhou University (2000)

• BSc (Computational Mathematics), Lanzhou University (1997)

WORKING EXPERIENCE

• Professor, Department of Mathematics, Xiamen University, China (2011—).

• Professor. Department of Mathematics, Shantou University, China (2008—2011).

• Associate Professor, Department of Mathematics, Xiamen University, China (2005—2008).

• Postdoctoral Research Fellow, Institute of Mathematics/Peking University, China (2003--2005).

RESEARCH EXPERIENCE / GRANTS

• Quasilinear Schrodinger equations with indefinite potential and related topics, NSFC Project 2021.01—2024.12, PI.

• Standing waves with large frequency for nonlinear Schrodinger-Poisson systems and related topics, NSFC Project 2017.01—2020.12, PI.

• Strongly indefinite and non compact variational problems, NSFC Project 2012.01—2015.12, PI.

• Critical groups and multiple solutions for nonlinear differential equations, NSFC Project 2007.01—2009.12, PI.

REPRESENTATIVE PUBLICATIONS

• Liu, S. & Zhou, J. Standing waves for quasilinear Schrödinger equations with indefinite potentials J. Differential Equations, 2018, 265, 3970-3987.

• Liu, P. & Liu, S. On the surjectivity of smooth maps into Euclidean spaces and the fundamental theorem of algebra Amer. Math. Monthly, 2018, 125, 941-943.

• Liu, S. & Zhang, Y. On the change of variables formula for multiple integrals J. Math. Study, 2017, 50, 268-276.

• Liu, S. On superlinear Schrödinger equations with periodic potential Calc. Var. Partial Differential Equations, 2012, 45, 1-9.

• Liu, S. Multiple solutions for elliptic resonant problems Proc. Roy. Soc. Edinburgh Sect. A, 2008, 138, 1281-1289.

• Liu, S. Remarks on multiple solutions for elliptic resonant problems J. Math. Anal. Appl., 2007, 336, 498-505.

• Liu, S. & Li, S. Critical groups at infinity, saddle point reduction and elliptic resonant problems Commun. Contemp. Math., 2003, 5, 761-773.

HONORS/AWARDS

• Regular Associate of the Abdus Salam International Centre for Theoretical Physics (ICTP), 2013—2019.