On the strict monotonicity of the first eigenvalue of the $p$-Laplacian on annuli

T. V. Anoop, Vladimir Bobkov, Sarath Sasi

Let $B_1$ be a ball in ${\mathbb{R}}^N$ centred at the origin and $B_0$ be a smaller ball compactly contained in $B_1$. For $p\in (1,\infty )$, using the shape derivative method, we s…