Strict Faber-Krahn type inequality for the mixed local-nonlocal operator under polarization

K Ashok Kumar, Nirjan Biswas

Let $\hat{I}\text{c◯}\subset {\mathbb{R}}^d$ with $d\ge 2$ be a bounded domain of class ${\mathcal{C}}^{1,{\hat{I}}^2}$ for some ${\hat{I}}^2\in (0,1)$. For $p\in (1,\infty )$ and $s\in (0,1)$, let $\hat{I}{›}_p^s(\hat{I}\text{c◯})$ b…