In this paper, we study nonlinear equation arising in MEMS modeling electrostatic actuation. We will prove the local and global existence of solutions of the generalized parabolic MEMS equation. We present that there exists a constant $lambda^{*}$ such that the associated stationary problem has a solution for any $lambda lambda^{*}$. We show that when $lambda 1$, as a function of $p$, the pull-in voltage $lambda^{*}(p)$ is strictly decreasing with respect to $1p_0$.
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