Educational Background

• Ph.D, Institute of mathematics, Chinese Academy of Sciences, 2003
• M.Sc, Lanzhou University, 2000
• B.Sc, Lanzhou University, 1997

Professional Experience

• Associate Professor, Florida Institute of Technology, August 2024 ---.
• Assistant Professor, Florida Institute of Technology, August 2022 --- July 2024.
• Professor, Xiamen University, October 2011 --- July 2022.
• Professor, Shantou University, August 2008 --- September 2011.
• Associate Professor, Xiamen University, July 2005 --- July 2008.
• Postdoc, Peking University, July 2003 --- June 2005.

• Visiting Professor, Xiamen University Malaysia, March 2020 --- August 2020.
• Guest Professor, University of Notre Dame, January 2017 --- December 2017.
• Regular Associate, International Centre for Theoretical Physics, 2014 --- 2019.

Current Courses

• MTH3210: Intro to PDE & Apps, Fall 2024
• MTH5110: Real Analysis 1, Fall 2024
• MTH3210: Intro to PDE & Apps, Spring 2024
• MTH4105: Topology, Spring 2024
• MTH3210: Intro to PDE & Apps, Fall 2023
• MTH5110: Real Analysis 1, Fall 2023
• MTH3210: Intro to PDE & Apps, Spring 2023
• MTH4105: Topology, Spring 2023
• MTH2001: Calculus 3, Fall 2022
• MTH3210: Intro to PDE & Apps, Fall 2022

Selected Publications

• S. Liu, K. Perera, Multiple solutions for (p,q)-Laplacian equations in with critical or subcritical exponents, Calc. Var. Partial Differential Equations, 63 (2024) Paper No. 199, 15.
• S. Liu, L.-F. Yin, Quasilinear Schrödinger equations with concave and convex nonlinearities, Calc. Var. Partial Differential Equations, 62 (2023) Paper No. 100, 14.
• S. Liu, S. Mosconi, On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity, J. Differential Equations, 269 (2020) 689–712.
• S. Liu, Z. Zhao, Solutions for fourth order elliptic equations on RN involving uD(u2) and sign-changing potentials, J. Differential Equations, 267 (2019) 1581–1599.
• S. Liu, J. Zhou, Standing waves for quasilinear Schrödinger equations with indefinite potentials, J. Differential Equations, 265 (2018) 3970–3987.
• P. Liu, S. Liu, On the surjectivity of smooth maps into Euclidean spaces and the fundamental theorem of algebra, Amer. Math. Monthly, 125 (2018) 941–943.
• S. Liu, Y. Zhang, On the change of variables formula for multiple integrals, J. Math. Study, 50 (2017) 268–276.
• H. Chen, S. Liu, Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems, Ann. Mat. Pura Appl. (4), 194 (2015) 43–53.
• S. Liu, On superlinear Schrödinger equations with periodic potential, Calc. Var. Partial Differential Equations, 45 (2012) 1–9.
•  S. Liu, On the regularity of operators near a regular operator, Amer. Math. Monthly, 117 (2010) 927–928.
• S. Liu, Multiple solutions for elliptic resonant problems, Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008) 1281–1289.
• S. Liu, Remarks on multiple solutions for elliptic resonant problems, J. Math. Anal. Appl., 336 (2007) 498–505.
• S. Liu, S. Li, Critical groups at infinity, saddle point reduction and elliptic resonant problems, Commun. Contemp. Math., 5 (2003) 761–773.

Recognition & Awards

As Principle Investigator (PI), I have conducted 4 research projects funded by Natural Science Foundation of China (NSFC).

• Quasilinear Schrödinger equations with indefinite potential and related problems, NSFC grant (12071387), 01.2021–12.2024. (PI)
  Terminated in July 2022 (because I left China to continue my career in the USA), my research is no longer supported by this project
• Standing waves for nonlinear Schrödinger-Poisson systems with high frequency and related problems, NSFC grant (11671331), 01.2017–12.2020. (PI)
• Critical point theory and nonlinear Schrödinger-Poisson systems, Distinguished Young Scholar Foundation of Fujian grant (2014J06002), 01.2014–12.2016. (PI)
• Strongly indefinite and noncompact variational problems, NSFC grant (11171204), 01.2012–12.2015. (PI)
• Critical groups and multiple solutions of nonlinear differential equations, NSFC grant (10601041), 01.2007–12.2009. (PI)
• Program for New Century Excellent Talents in Fujian Province University, 1.2008–12.2010. (PI)

Research

I am working on Nonlinear Functional Analysis; Variational Methods; Critical Point Theory; Nonlinear Elliptic Partial Differential Equations.