3 papers
math.DG2026
Eigenvalue comparison theorems for the Witten-Laplacian and the weighted -Laplacian on complete manifolds with a modified Ricci curvature bounded from below
Ruifeng Chen, Qiyue Ma, Jing Mao
In this paper, for complete manifolds with a modified Ricci curvature bounded from below, we can successfully set up Cheng-type eigenvalue comparison theorems for the first Dirichl…
math.DG2025
Spectral isoperimetric inequalities for a class of mixed eigenvalue problems of the Laplacian on triangles and trapezoids
Ruifeng Chen, Jing Mao
In this paper, under suitable geometric constraints, we have successfully obtained characterizations for the extremum values of the functional of mixed eigenvalues of the Laplacian…
math.DG2025
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…