The First Eigenvalue of $(p, q)$-Laplacian System on $C$-Totally Real Submanifold in Sasakian Manifolds
Year: 2024
Author: Mohammad Javad Habibi Vosta Kolaei, Shahroud Azami
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 873–889
Abstract
Consider $(M, g)$ as an $n$-dimensional compact Riemannian manifold. Our main aim in this paper is to study the first eigenvalue of $(p, q)$-Laplacian system on $C$-totally real submanifold in Sasakian space of form $\overline{M}^{2m+1} (\kappa).$ Also in the case of $p, q > n$ we show that for $λ_{1,p,q}$ arbitrary large there exists a Riemannian metric of volume one conformal to the standard metric of $S^n.$
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.873
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 873–889
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Eigenvalue $(p q)$-Laplacian system geometric estimate Sasakian manifolds.