Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Comparison estimates on the first eigenvalue of a quasilinear elliptic system

Abolarinwa Abimbola, Azami Shahroud

Journal of Applied Analysis

2020

Vol. 26, nr 2

273--285

We study a system of quasilinear eigenvalue problems with Dirichlet boundary conditions on complete compact Riemannian manifolds. In particular, Cheng comparison estimates and the inequality of Faber-Krahn for the first eigenvalue of a (p, q)-Laplacian are recovered. Lastly, we reprove a Cheeger-type estimate for the p-Laplacian, 1 < p < ∞, from where a lower bound estimate in terms of Cheeger’s constant for the first eigenvalue of a (p, q)-Laplacian is built. As a corollary, the first eigenvalue converges to Cheeger’s constant as p, q → 1, 1.