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CONFORMAL BOUNDS FOR THE FIRST EIGENVALUE OF THE (p,q) -LAPLACIAN SYSTEM
  • MOHAMMAD JAVAD HABIBI VOSTA KOLAEI,
  • shahroud azami
MOHAMMAD JAVAD HABIBI VOSTA KOLAEI
Imam Khomeini International University Faculty of Science

Corresponding Author:[email protected]

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shahroud azami
Imam Khomeini International University Faculty of Science
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Abstract

Consider ( M , g ) as an m-dimensional compact connected Riemannian manifold without boundary. In this paper, we investigate the first eigenvalue λ 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 λ 1 , p , q there exists a Riemannian metric of volume one conformal to the standard metric of S m .