Research

Publications

  1. (with Wei, Guofang; Zhu, Xuwen) Fundamental gap of spherical triangles, arXiv:2009.00229, 2020

  2. The first eigenvalue of the p-Laplacian on differential forms, to appear in Pacific Journal of Math (2020).

  3. (with Ramos Olivé, Xavier; Wei, Guofang ; Zhang, Qi S.) Zhong-Yang type eigenvalue estimate with integral curvature condition. Math. Z. 296 (2020), no. 1-2, 595--613.

  4. (with Dai, Xianzhe; Wei, Guofang) Fundamental gap comparison, Surveys in Geometric Analysis 2018, Science Press Beijing (2019), 1--16.

  5. (with Wang, Lili ; Wei, Guofang) Sharp fundamental gap estimate on convex domains of sphere. J. Differential Geom. 112 (2019), no. 2, 347--389.

  6. (with Blacker, Casey) First eigenvalue of the p-Laplacian on Kähler manifolds. Proc. Amer. Math. Soc. 147 (2019), no. 5, 2197--2206.

  7. (with Dai, Xianzhe; Wei, Guofang) Fundamental gap estimate for convex domains on sphere - the case n=2, to appear in Communications in Analysis and Geometry, 2018

  8. (with Wei, Guofang) First eigenvalue of the p-Laplacian under integral curvature condition. Nonlinear Anal. 163 (2017), 60--70.

  9. Bergman kernel asymptotics through perturbation. Analysis and geometry in several complex variables, 179--184, Contemp. Math., 681, Amer. Math. Soc., Providence, RI, 2017.

  10. (with Hezari, Hamid ; Kelleher, Casey ; Xu, Hang ) Asymptotic expansion of the Bergman kernel via perturbation of the Bargmann-Fock model. J. Geom. Anal. 26 (2016), no. 4, 2602--2638.