J. Nonl. Mod. Anal., 6 (2024), pp. 873-889.
Published online: 2024-12
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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 $S^n.$
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.873}, url = {http://global-sci.org/intro/article_detail/jnma/23661.html} }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 $S^n.$