Eigenvalue inequalities for the p-Laplacian operator on C-totally real submanifolds in Sasakian space forms

DOI10.1080/00036811.2020.1758307zbMath1485.58009OpenAlexW3021080398MaRDI QIDQ5065528

Rifaqat Ali, Laurian-Ioan Piscoran, Akram Ali, Ali H. Al-Khaldi

Publication date: 22 March 2022

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2020.1758307

zbMATH Keywords

\(p\)-Laplacian operatoreigenvalue estimatesReilly-type inequalitysimply connected Sasakian space forms

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (3)

Reilly-type inequality for the \(\Phi\)-Laplace operator on semislant submanifolds of Sasakian space forms ⋮ Some eigenvalues estimate for the \(\phi\)-Laplace operator on slant submanifolds of Sasakian space forms ⋮ Hypersurfaces of a Sasakian manifold -- revisited

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalue estimate and gap theorems for submanifolds in the hyperbolic space
• Reilly type inequality for the first eigenvalue of the \(L_{r;F}\) operator
• Sharp estimate on the first eigenvalue of the \(p\)-Laplacian
• Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
• Second eigenvalue of Paneitz operators and mean curvature
• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces
• An inequality of ``Reilly-type for submanifolds of the hyperbolic space
• Eigenvalue comparison theorems and its geometric applications
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• Second eigenvalue of Schrödinger operators and mean curvature
• Eigenvalue estimates of Reilly type in product manifolds and eigenvalue comparison for strip domains
• Reilly-type inequalities for the first eigenvalue of \(p\)-Laplacian of submanifolds in Minkowski spaces
• Estimates for eigenvalues of the Wentzell-Laplace operator
• Conformal bounds for the first eigenvalue of the \(p\)-Laplacian
• First eigenvalue for the \(p\)-Laplace operator
• Reilly-type inequalities for \(p\)-Laplacian on submanifolds in space forms
• Reilly-type inequalities for \(p\)-Laplacian on compact Riemannian manifolds
• First eigenvalue of the \(p\)-Laplacian under integral curvature condition
• Sharp Reilly-type inequalities for a class of elliptic operators on submanifolds
• Ideal \(C\)-totally real submanifolds in Sasakian space forms
• Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
• First eigenvalue of the $p$-Laplacian on Kähler manifolds
• Geometric classification of warped products isometrically immersed into Sasakian space forms
• A class of biminimal Legendrian submanifolds in Sasakian space forms

This page was built for publication: Eigenvalue inequalities for the p-Laplacian operator on C-totally real submanifolds in Sasakian space forms