Estimates for the first eigenvalue of the one-dimensional $p$-Laplacian
In the present paper, we study the first eigenvalue $λ(p)$ of the one-dimensional $p$-Laplacian in the interval $(-1,1)$. We give an upper and lower estimate of $λ(p)$ and study its asymptotic behavior as $p \to 1+0$ or $p \to \infty$.
math.AP↗