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Liu, Shibo

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Shibo Liu

Associate Professor | College of Engineering and Science: Department of Mathematics and Systems Engineering

Contact Information

sliu@fit.edu
(321)3093020
Frederick C. Crawford Bldg, 302



Expertise

Nonlinear Functional Analysis; Critical Point Theory (Minimax theory and Morse Theory); Variational Methods for Nonlinear Differential Equations; Partial Differential Equations

Educational Background

  • Ph.D, , Chinese Academy of Sciences, 2003
  • M.Sc, , 2000
  • B.Sc, , 1997

Professional Experience

  • Associate Professor, Â鶹´«Ã½Ó³»­, August 2024 ---.
  • Assistant Professor, Â鶹´«Ã½Ó³»­, August 2022 --- July 2024.
  • Professor, , October 2011 --- July 2022.
  • Professor, , August 2008 --- September 2011.
  • Associate Professor, , July 2005 --- July 2008.
  • Postdoc, , July 2003 --- June 2005.
  • Visiting Professor, , March 2020 --- August 2020.
  • Guest Professor, , January 2017 --- December 2017.
  • Regular Associate, , 2014 --- 2019.

Current Courses

  • MTH3210: Intro to PDE & Apps, Fall 2025
  • MTH5110: Real Analysis 1, Fall 2025
  • 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, , Calc. Var. Partial Differential Equations, 63 (2024) Paper No. 199, 15.
  • S. Liu, L.-F. Yin, , Calc. Var. Partial Differential Equations, 62 (2023) Paper No. 100, 14.
  • S. Liu, S. Mosconi, , J. Differential Equations, 269 (2020) 689–712.
  • S. Liu, Z. Zhao, , J. Differential Equations, 267 (2019) 1581–1599.
  • S. Liu, J. Zhou, , J. Differential Equations, 265 (2018) 3970–3987.
  • P. Liu, S. Liu, , Amer. Math. Monthly, 125 (2018) 941–943.
  • S. Liu, Y. Zhang, , J. Math. Study, 50 (2017) 268–276.
  • H. Chen, S. Liu, , Ann. Mat. Pura Appl. (4), 194 (2015) 43–53.
  • S. Liu, , Calc. Var. Partial Differential Equations, 45 (2012) 1–9.
  •  S. Liu, , Amer. Math. Monthly, 117 (2010) 927–928.
  • S. Liu, , Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008) 1281–1289.
  • S. Liu, , J. Math. Anal. Appl., 336 (2007) 498–505.
  • S. Liu, S. Li, , Commun. Contemp. Math., 5 (2003) 761–773.

Recognition & Awards

As Principle Investigator (PI), I have conducted 4 research projects funded by  (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.