Domain variations of the first eigenvalue via a strict Faber-Krahn type inequality

T. V. Anoop, K. Ashok Kumar

For $d\ge 2$ and $\frac{2d+2}{d+2}<p<\infty$, we prove a strict Faber-Krahn type inequality for the first eigenvalue ${\lambda }_1(\Omega )$ of the $p$-Laplace operator on a bounded Lipschi…