4 papers
Mixed Eigenvalues of {\LARGE \,}-Laplacian
Mu-Fa Chen, Ling-Di Wang, Yu-Hui Zhang
The mixed principal eigenvalue of -Laplacian (equivalently, the optimal constant of weighted Hardy inequality in space) is studied in this paper. Several variational for…
Unified representation of formulas for single birth processes
Mu-Fa Chen, Yu-Hui Zhang
Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical probl…
Mixed Eigenvalues of Discrete {\LARGE \,}-Laplacian
Mu-Fa Chen, Ling-Di Wang, Yu-Hui Zhang
This paper deals with the principal eigenvalue of discrete -Laplacian on the set of nonnegative integers. Alternatively, it is studying the optimal constant of a class of weight…
Mixed principal eigenvalues in dimension one
Mu-Fa Chen, Ling-Di Wang, Yu-Hui Zhang
This is one of a series of papers exploring the stability speed of one-dimensional stochastic processes. The present paper emphasizes on the principal eigenvalues of elliptic opera…