7 citations · 17 across the 11 of their papers we have counts for
11 papers
On eigenfunctions and nodal sets of the Witten-Laplacian
Ruifeng Chen, Jing Mao, Chuanxi Wu
In this paper, we successfully establish a Courant-type nodal domain theorem for both the Dirichlet eigenvalue problem and the closed eigenvalue problem of the Witten-Laplacian. Mo…
A stability result for translating space-like graphs in Lorentz manifolds
Ya Gao, Jing Mao, Chuanxi Wu
In this paper, we investigate space-like graphs defined over a domain in the Lorentz manifold with the metric , where is…
Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order
Feng Du, Lanbao Hou, Jing Mao +1
In this paper, we investigate the buckling problem of the drifting Laplacian of arbitrary order on a bounded connected domain in complete smooth metric measure spaces (SMMSs) suppo…
Eigenvalue comparisons in Steklov eigenvalue problem and some other eigenvalue estimates
Yan Zhao, Chuanxi Wu, Jing Mao +1
In this paper, two interesting eigenvalue comparison theorems for the first non-zero Steklov eigenvalue of the Laplacian have been established for manifolds with radial sectional c…
The distributional hyper-Jacobian determinants in fractional Sobolev spaces
Qiang Tu, Chuanxi Wu, Xueting Qiu
In this paper we give a positive answer to a question raised by Baer-Jerison in connection with hyper-Jacobian determinants and associated minors in fractional Sobolev spaces. Insp…
Cartesian currents in fractional Sobolev spaces and applications to functions of bounded higher variation
Qiang Tu, Chuanxi Wu
In this paper we establish weak continuity results for the distribution Jacobian minors in fractional sobolev spaces, which can be seen as a extension of recent work of Brezis and…
Hyperbolic inverse mean curvature flow
Zhe Zhou, Chuan-Xi Wu, Jing Mao
In this paper, we prove the short-time existence of hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial comp…
Isoperimetric inequalities for eigenvalues by inverse mean curvature flow
Fangcheng Guo, Guanghan Li, Chuanxi Wu
By studying the monotonicity of the first nonzero eigenvalues of Laplace and p-Laplace operators on a closed convex hypersurface which evolves under inverse mean curvature fl…
The Gagliardo-Nirenberg inequality on metric measure spaces
Feng Du, Jing Mao, Qiaoling Wang +1
In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Gagliardo-Nirenberg inequality with the same exponent , then i…
Volume-Preserving flow by powers of the mth mean curvature in the hyperbolic space
Shunzi Guo, Guanghan Li, Chuanxi Wu
This paper concerns closed hypersurfaces of dimension in the hyperbolic space of constant sectional curvature evolving in direction of its no…
Self-Similar Solutions to Curvature Flow of Convex Hypersurfaces
Guanghan Li, Isabel Salavessa, Chuanxi Wu
We classify the self-similar solutions to a class of Weingarten curvature flow of connected compact convex hypersurfaces, isometrically immersed into space forms with non-positive…