Estimates for the first eigenvalue of the one-dimensional $p$-Laplacian

Ryuji Kajikiya, Shingo Takeuchi

In the present paper, we study the first eigenvalue $\hat{I}»(p)$ of the one-dimensional $p$-Laplacian in the interval $(-1,1)$. We give an upper and lower estimate of $\hat{I}»(p)$ and study…