TY - JOUR
T1 - The First Eigenvalue of $(p, q)$-Laplacian System on $C$-Totally Real Submanifold in Sasakian Manifolds
AU - Kolaei , Mohammad Javad Habibi Vosta
AU - Azami , Shahroud
JO - Journal of Nonlinear Modeling and Analysis
VL - 4
SP - 873
EP - 889
PY - 2024
DA - 2024/12
SN - 6
DO - http://doi.org/10.12150/jnma.2024.873
UR - https://global-sci.org/intro/article_detail/jnma/23661.html
KW - Eigenvalue, $(p, q)$-Laplacian system, geometric estimate, Sasakian
manifolds.
AB - <p style="text-align: justify;">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 $p, q &gt; n$ we show that for $λ_{1,p,q}$ arbitrary large
there exists a Riemannian metric of volume one conformal to the standard
metric of $S^n.$</p>