Comparison estimates on the first eigenvalue of a quasilinear elliptic system

• Autorzy: Abolarinwa Abimbola , Azami Shahroud

Identyfikatory

DOI

10.1515/jaa-2020-2024

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

p-Laplacian; eigenvalue problems; Cheng-type estimates; Faber-Krahn inequality; Cheeger constant

PL

p-Laplacian; zagadnienie własne; szacunki typu Chenga; nierówność Fabera-Krahna; stała Cheegera

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2020
• Tom: Vol. 26, nr 2
• Strony: 273--285
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Abolarinwa Abimbola

• Department of Mathematics, University of Lagos, Akoka, Lagos, Nigeria

autor

Azami Shahroud

• Department of Mathematics, Faculty of Sciences, Imam Khomeini International University, Qazvin, Iran

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