Estimates from below for the first eigenvalue of the p–Laplacian
Nikolai Kutev, Tsviatko Rangelov · AIP conference proceedings · 2019
The first eigenvalue λ of the p–Laplacian operator with zero Dirichlet boundary condition in bounded domain Ω ⊂ Rn, n ≥ 2, p > 1 is considered. A lower bound for λ is obtained by means of Hardy inequality with double singular kernel. Comparison with analytical and numerical estimates from below in the ball for the first eigenvalue is shown.