Department of Analysis 's publications

2020

Harmonic 1-forms on immersed hypersurfaces in a Riemannian manifold with weighted Bi-Ricci curvature bounded from below. Journal of Mathematical Analysis and Applications. 2020;484:123693.

2019

Analysis of weighted p-harmonic forms and applications. International Journal of Mathematics. 2019;30:1950058.

2018

Gradient estimates for some f-heat equations driven by Lichnerowicz's equation on complete smooth metric measure spaces. manuscripta mathematica. 2018;155:471–501. doi:10.1007/s00229-017-0946-3.
On the asymptotic behavior of radial entire solutions for the equation $(-\Delta)^3 u = u^p$ in $\mathbf{R}^n$. 2018. Available at: https://doi.org/10.1016/j.jde.2017.11.036.
Gradient estimates for some f-heat equations driven by Lichnerowicz’s equation on complete smooth metric measure spaces. manuscripta mathematica. 2018;155:471–501.

2017

p-harmonic ℓ-forms on Riemannian manifolds with a weighted Poincaré inequality. Nonlinear Analysis: Theory, Methods & Applications. 2017;150:138–150.
Hamilton type gradient estimate for a nonlinear diffusion equation on smooth metric measure spaces. Differential Geometry and its Applications. 2017;51:153–162.
p-harmonic functions on complete manifolds with a weighted Poincaré inequality. Kodai Mathematical Journal. 2017;40:343–357.
Local spectral formula for the integral operator I on Lp(T). 2017.
Vanishing properties of $ p $-harmonic $$\backslash$ell $-forms on Riemannian manifolds. arXiv preprint arXiv:1704.04925. 2017.