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| The First Eigenvalue of $\left(p,q\right)$-Laplacian System on $C$-totally Real Submanifold in Sasakian Manifolds |
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| KeyWord:Eigenvalue, $\left(p,q\right)$-Laplacian system, geometric estimate, Sasakian manifolds |
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| Abstract: |
| Consider $\left(M,g\right)$ as an $n$-dimensional compact Riemannian manifold. Our main aim in this paper is to study the first eigenvalue of $\left(p,q\right)$-Laplacian system on $C$-totally real submanifold in Sasakian space of form $\bar{M}^{2m+1}\left(\kappa \right)$. Also in the case of $p,q >n$ we show that for $\lambda_{1,p,q}$ arbitrary large there exists a Riemannian metric of volume one conformal to the standard metric of $S^{n}$. |
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