Hong-Rui Sun
Professor of Institute of Basic Mathematics.
Email：hrsun@lzu.edu.cn
Ph.D.Lanzhou University, 2004, Mathematics
Biography
I received my Bachelor’s, Master’s and Doctor’s degrees in Mathematics from Lanzhou University in 1998,2001 and 2004 respectively. From July 2004 till now, I work in School of Mathematics and Statistics of Lanzhou University. From 2004 to 2012, I was a Associate Professor and Master's Supervisor.
From 2010 till now, I am a Doctoral Supervisor. From 2012 till now ,I am a present Professor. From May 2005 to September 2007, I also worked in School of Physics Science and Technology, Lanzhou University as a post-doctoral fellow. From October, 2007 to October 2008, I was a Visiting Scholar in Department of Mathematics,University of Miami.
Social experience
Teaching and guiding the situation of graduate students
Project results
Research interests
I am interested in the spectrum theory of nonlocal operators defined in a bounded domain or in the whole space with weight function and its application in existence theory of solution of nonlocal differential equations. I am also interested in the qualitative theory of initial and boundary value problems of some nonlocal differential equations that have practical background.
Publications
1.L.L Li, H.R.Sun, Q.G. Zhang，Existence and nonexistence of global solutions for a semilinear reaction–diffusion system，J. Math. Anal. Appl. 445 (2017) 97–124.
2. B.X. Yang, H.R. Sun, Z. Feng, Unilateral Global Bifurcation, Half-linear eigenvalues and constant sign Solutions for a fractional Laplace problem, International J. Bifur. Chaos, 27(1) (2017) 1750015 (14 pages).
3.Q.G.Zhang, H.R. Sun, Y.N. Li, The nonexistence of global solutions for a time fractional nonlinear Schrödinger equation without gauge invariance, Appl. Math. Lett. 64 (2017) 119–124.
4. Y.N. Li, H.R. Sun, Z. Feng， Fractional abstract Cauchy problem with order α ∈ (1, 2)，Dynamics of PDE, 13（2)(2016）, 155-177 .
5. Q.G. Zhang，H.R. Sun，The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation，Topological Methods in Nonlinear Anal.， 46(2015), 69-92.
6. Tou-Xiang Gou,H.R. Sun, Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition, Appl. Math. Comput. 257(2015), 409-416.
7. Bian-Xia Yang, H.R. Sun, Z. Feng, Eigenvalues, unilateral global bifurcation and constant sign solutions for a fractional Laplace problem, International J. Bifur. Chaos, 25 (2015), 1550183.
8. Q.G. Zhang, H.R. Sun, Juan J. Nieto, Positive solution for a superlinear Kirchhoff type problem with a parameter, Nonlinear Anal. TMA 95(2014), 333–338.
9. Q.G. Zhang, H.R. Sun, Ya-Ning Li, Existence of solution for a fractional advection dispersion equation in R^N, Appl. Math. Modelling, 38 (2014), 4062–4075.
10. H.R. Sun, Q.G. Zhang，Existence of solutions for a fractional boundary value problem via the Mountain Pass method and an iterative technique，Computers Math. Appl.，64(2012)，3436-3443.
11. Q.G. Zhang, H.R. Sun, Variational approach for Sturm-Liouville boundary value problems on time scales, J. Appl. Math. Comput. 36(2011), 219–232.
12. H.R. Sun, X. Lu, S. Ruan, Qualitative analysis of models with different treatment protocols to prevent antibiotic resistance, Math. Biosciences, 227 (2010), 56-67.
13. H.R. Sun，Triple positive solutions for p-Laplacian m-point boundary value problem on time scales, Computers Math. Appl. 58(2009), 1736-1741.
14. S.J. Wang，H.R. Sun，Optimal existence criteria for symmetric positive solutions to singular three-point boundary value problem，Nonlinear Anal. TMA，69(2008), 4266-4276.
15. H.R. Sun，W.T. Li,On the number of positive solutions of(systems of nonlinear dynamic equations on time scales，J. Comput. Appl. Math.，219(2008),123-133。
16. H.R. Sun，W.T. Li,Existence theory for positive solutions to one-dimensional p-Laplacian boundary value problems on time scales，J. Differential Equations，240(2007)：217-248。
17. H.R. Sun，L.T. Tang，Y.H. Wang，Eigenvalue problem for p-Laplacian three-point boundary value problemson time scales，J. Math. Anal. Appl.，331(2007),248-262.
18. H.R. Sun，Existence of Positive solutions to second-order time scale systems，Computers Math. Appl.，49(2005)131-145.
19. Wan-Tong Li, Hong-Rui Sun, Multiple positive solutions for nonlinear dynamic systems on a measure chain, J. Comput. Appl. Math. 162 (2004), 421-430.
20. H.R. Sun, W.T. Li, Positive solutions for nonlinear three-point boundary value problems on time scales, J. Math. Anal. Appl., 299(2004), 508-524.
Honor and Award
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