Geometric Estimates of the First Eigenvalue of (p,q)-elliptic Quasilinear System Under Integral Curvature Condition

被引：1

作者：

Habibi Vosta Kolaei, Mohammad Javad ^{[1
]}

Azami, Shahroud ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin, Iran

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 34卷 / 04期

关键词：

Eigenvalue; geometric estimate; integral curvature; (p; q)-elliptic quasilinear system; P-LAPLACIAN; MANIFOLDS; BOUNDS;

D O I：

10.4208/jpde.v34.n4.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：348 / 368

页数：21

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