In this paper, we establish two kinds of Cheeger-type isoperimetric inequalities.By using the Lipschitzian norm estimate of the solution of Poisson equation -LG = g, we give the estimation of the optimal constants, which extend the result of Djellout and Wu [8].%本文研究了关于生灭过程的Cheeger型等周不等式的问题.利用泊松方程解的李普希兹范数的估计的方法,获得了Cheeger型等周不等式的最优常数的估计,推广了Djellout和吴黎明[8]的结果.
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