Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition
Year: 2021
Author: Mohammad Javad Habibi Vosta Kolaei, Shahroud Azami
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 4 : pp. 348–368
Abstract
Consider (M,g) as a complete, simply connected Riemannian manifold. The aim of this paper is to provide various geometric estimates in different cases for the first eigenvalue of $(p,q)$-elliptic quasilinear system in both Dirichlet and Neumann conditions on Riemannian manifold. In some cases we add integral curvature condition and maybe we prove some theorems under other conditions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v34.n4.3
Journal of Partial Differential Equations, Vol. 34 (2021), Iss. 4 : pp. 348–368
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Eigenvalue $(p q)$-elliptic quasilinear system geometric estimate integral curvature.