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math.SP2015
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…
math.SP2014
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…