Dr. Shibo Liu is an assistant professor of mathematics at Florida Institute of Technology. Before July 2022, he was a professor of mathematics at Xiamen University.
Update: March 11, 2024
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Welcome to contact me if you are interested to work with me for your MSc or PhD degree.
Before I came to USA in July 2022: I taught various courses in China for undergraduate and graduate students majoring in mathematics, such as:
Teaching Related Publications
Click here for a complete list of my publications record in MathSciNet.
[1] S. Liu, L.-F. Yin, Quasilinear Schrödinger equations with concave and convex nonlinearities, Calc. Var. Partial Differential Equations, 62 (2023) Paper No. 100, 14.
[2] S. Jiang, S. Liu, Multiple solutions for Schrödinger-Kirchhoff equations with indefinite potential, Appl. Math. Lett., 124 (2022) Paper No. 107672, 9.
[3] S. Liu, S. Mosconi, On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity, J. Differential Equations, 269 (2020) 689–712.
[4] S. Liu, Z. Zhao, Solutions for fourth order elliptic equations on \(\Bbb {R}^N\) involving \(u\Delta (u^2)\) and sign-changing potentials, J. Differential Equations, 267 (2019) 1581–1599.
[5] 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.
[6] S. Liu, J. Zhou, Standing waves for quasilinear Schrödinger equations with indefinite potentials, J. Differential Equations, 265 (2018) 3970–3987.
[7] S. Liu, Y. Wu, Standing waves for 4-superlinear Schrödinger-Poisson systems with indefinite potentials, Bull. Lond. Math. Soc., 49 (2017) 226–234.
[8] S. Liu, Y. Zhang, On the change of variables formula for multiple integrals, J. Math. Study, 50 (2017) 268–276.
[9] A. Iannizzotto, S. Liu, K. Perera, M. Squassina, Existence results for fractional \(p\)-Laplacian problems via Morse theory, Adv. Calc. Var., 9 (2016) 101–125.
[10] H. Chen, S. Liu, Standing waves with large frequency for 4-superlinear Schrödinger-Poisson systems, Ann. Mat. Pura Appl. (4), 194 (2015) 43–53.
[11] S. Liu, On superlinear Schrödinger equations with periodic potential, Calc. Var. Partial Differential Equations, 45 (2012) 1–9.
[12] S. Liu, Multiple solutions for elliptic resonant problems, Proc. Roy. Soc. Edinburgh Sect. A, 138 (2008) 1281–1289.
[13] S. Liu, Remarks on multiple solutions for elliptic resonant problems, J. Math. Anal. Appl., 336 (2007) 498–505.
[14] S. Liu, Multiple solutions for coercive \(p\)-Laplacian equations, J. Math. Anal. Appl., 316 (2006) 229–236.
[15] S. Liu, S. Li, Existence of solutions for asymptotically ‘linear’ \(p\)-Laplacian equations, Bull. London Math. Soc., 36 (2004) 81–87.
[16] S. Liu, S. Li, Critical groups at infinity, saddle point reduction and elliptic resonant problems, Commun. Contemp. Math., 5 (2003) 761–773.
[17] S. Liu, Existence of solutions to a superlinear \(p\)-Laplacian equation, Electron. J. Differential Equations, (2001) No. 66, 6.
As Principle Investigator (PI), I have conducted 4 research projects funded by Natural Science Foundation of China (NSFC).
Surjections between Euclidean Spaces, Changing Variables and Brouwer Fixed Point Theorem
13th AIMS International Conference on Dyn. Systems, Diff. Equations and Applications, May 31–June 4, 2023, University of North Carolina at Wilmington, NC, USA
Morse theory and nonlinear Schrödinger equations,
I am an expert on LaTeX, who can solve problems in using LaTeX with simple idea.
Here are some templates for LaTeX typesetting:
LaTeX can also be used to build your website:
In the directory of index.tex, run
make4ht index.tex "mathjax"
in Command Line of your system. This will generate index.html and index.css, which will be uploaded to your site
See here for more commands you can use. You need to have full installation of TeX system, such as TeXLive
Guitar: When I was young I admired Guitarist. Now I am not young and I have started playing Guitar. Here are some of songs I could play:
Karaoke: I can sing in Mandarin, Cantonese, Hokkien, Teochew, and English.
Some songs I sang can be found at