Conformal bounds for the first eigenvalue of the (p, q)-Laplacian system

被引：0

作者：

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

Azami, Shahroud ^{[2
]}

机构：

[1] Sharif Univ Technol, Tehran, Iran

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

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2024年 / 55卷 / 04期

关键词：

Eigenvalue; the; p; q )-Laplacian system; geometric estimate; Riemannian metrics; LAPLACIAN;

D O I：

10.5556/j.tkjm.55.2024.5188

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider ( M,g ) as an in-dimensional compact connected Riemannian manifold without boundary. In this paper, we investigate the first eigenvalue lambda (1,p,q) of the ( p, q )-Laplacian system on M . Also, in the case of p, q > n we will show that for arbitrary large lambda (1,p,q) there exists a Riemannian metric of volume one conformal to the standard metric of S (m) .

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页码：371 / 389

页数：19

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