数学科学学院

Resume

Publications

1.On the equivalence of Lp-parabolicity, Lq-Liouville property on weighted graphs, arXiv: 2412.15420, submitted. (with L. Hao)

2.Sharp criteria for system of elliptic differential inequalities on manifolds, submitted. (with D. Ye, Y. Zheng)

3.Sharp criteria for nonlocal elliptic inequalities on manifolds, arXiv: 2304.02808, submitted. (with Q. Gu, X. Huang)

4.On positive solutions of biharmonic elliptic inequalities on Riemannian manifolds, Comm. Pure Appl. Anal., Vol. 24, No. 2, 289-313(2025). (with Y. Zheng)

5.A priori estimates and Liouville type results for quasilinear elliptic equations involving gradient terms, Journal d'Analyse Mathematique, 153, 367–400 (2024). (with R. Filippucci, Y. Zheng)

6.Weak/Stable solutions to p-Kirchhoff equation: only zero or nonexistence, Journal of Mathematical Physics, 65, 091502, 2024. (with W. Li, J. Xiao)

7.Sharp Liouville type results for semilinear elliptic inequalities involving gradient terms on weighted graphs, Discrete Contin. Dyn. Syst. Ser. S16(2023), no.6, 1484-1516. (with L. Hao)

8.Higher order evolution inequalities with convection terms in an exterior domain of R^N, J. Math. Anal. Appl. Volume 519, Issue 1, 1 March 2023, 126738. (with M. Jleli, B. Samet)

9.On existence and nonexistence of nonnegative solutions to heat equation on Riemannian manifolds, Geometric Potential Analysis - AAG 6, De Gruyter. (with F. Xu)

10.Semi-linear elliptic inequalities on weighted graphs, Calc. Var. PDEs.,62, 42(2023). (with Q. Gu, X. Huang)

11.Quasilinear Laplace Equations and Inequalities with Fractional Orders,Math. Ann., Vol. 388(2024), 1-60. (with L. Liu, J. Xiao)

12.A sharp Liouville principle for on geodesically complete noncompact Riemannian manifolds, Math. Ann. 384 (2022), Vol. 384, 1309–1341. (with J. Xiao, F. Xu)

13.ed. A. Grigor'yan, Y. Sun, Analysis and partial differential equations on manifolds, fractals and graphs, de Gruyter series Advances in Analysis and Geometry 3, 2021. https://www.degruyter.com/view/title/578846?language=en

14.On nonexistence results of porous medium type equations and differential inequalities on Riemannian manifolds, Advances in Analysis and Geometry 3, de Gruyter.(with F. Xu)

15.Global positive solution to a semi-linear parabolic equation with potential on Riemannian manifold, Calc. Var. PDEs 59,Article number:170(2020). (with Q. Gu, J. Xiao, F. Xu)

16.Superlinear elliptic inequalities on manifolds, J. Func. Anal. 278(2020), no. 9, 108444.(with A. Grigor’yan, I. Verbitsky)

17.On positive solutions of semilinear elliptic inequalities on Riemannian manifolds, Calc. Var. PDEs. 58(2019),no. 6, Art.207, 30pp.(with A. Grigor’yan)

18.Liouville type theorems forsystems of elliptic differential inequalities on Riemannian manifolds, J. Math. Anal. Appl. Vol. 466(2018), No.1, 426-446.(with F. Xu, L. Wang)

19.Absence of positive solutions to the system of differential inequalities on manifolds, J. Math. Phys. 59(2018), 011510.

20.Nonexistence results for systems of elliptic and parabolic differential inequalities in exterior domains of R^n, Pacific J. Math, Vol. 293 (2018), No. 1, 245–256.

21.Absence of nonnegative solutions to the system of differential inequalities on manifolds, J. Math. Anal. Appl.,450(2017), no. 2, 901–914.

22.The absence of global positive solutions to semilinear parabolic differential inequalities in exterior domain, Proc. Amer. Math. Soc. 145 (2017), no. 8, 3455–3464.

23.Uniqueness result on nonnegative solutions of a large class of differential inequalities on Riemannian manifolds. Pacific J. Math. 280 (2016), no. 1, 241–254.

24.On the uniqueness of nonnegative solutions of differential inequalities with gradient terms on Riemannian manifolds. Comm. Pure Appl. Anal. 14 (2015), no. 5, 1743–1757.

25.On nonexistence of positive solutions of quasi-linear inequality on Riemannian manifolds. Proc. Amer. Math. Soc. 143 (2015), no. 7, 2969–2984.

26.Uniqueness result for non-negative solutions of semi-linear inequalities on Riemannian manifolds. J. Math. Anal. Appl. 419 (2014), no. 1, 643–661.

27.On non-negative solutions of the inequality ∆u+u^σ≤0 on Riemannian manifolds, Comm. Pure Appl. Math., Vol.67(2014), Issue. 8, 1336-1352.(with A.Grigor'yan)

28.Inhomogeneous parabolic equations on unbounded metric measure spaces, Proc. Roy. Soc. Edinburgh Sect. A 142 (2012), no. 5, 1003–1025.(with K.J.Falconer, J. Hu)

29.Heat flow method for Lichnerowicz type equations on closed manifolds, Z. Angew. Math. Phys. 63 (2012), no. 2, 261–270.(with L. Ma, X. Tang)