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

K Ashok Kumar, Nirjan Biswas

Let $\Omega \subset {\mathbb{R}}^d$ with $d\ge 2$ be a bounded domain of class ${\mathcal{C}}^{1,\beta }$ for some $\beta \in (0,1)$. For $p\in (1,\infty )$ and $s\in (0,1)$, let ${\Lambda }_p^s(\Omega )$ be the…