| Abstract: |
| We consider two insulators embedded in a homogeneous medium where the current-electric field relation is the power law. The electric field (represented by the gradient of solutions) may blow up as $\varepsilon$, the distance between two insulators, approaches 0. In a recent joint work with Hongjie Dong and Hanye Zhu, we establish some gradient estimates in terms of $\varepsilon$. |
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