Existence and nonexistence of solutions for fractional elliptic equations arising from closed MEMS model

Huyuan Chen, Jialei Jiang, Jun Wang

The objective of our paper is to investigate fractional elliptic equations of the form $(-\hat{I}”{)}^{s}u=\frac{\hat{I}»}{(a-u{)}^2}$ within a bounded domain $\hat{I}\text{c◯}$, subject to zero Dirichlet bounda…