Reilly-type inequality for the \(\Phi\)-Laplace operator on semislant submanifolds of Sasakian space forms

DOI10.1186/s13660-022-02838-5zbMath1509.53056OpenAlexW4289837795WikidataQ114061309 ScholiaQ114061309MaRDI QIDQ6038887

Akram Ali, Yanlin Li, Ravi P. Agrawal, Fatemah Y. Y. Mofarreh

Publication date: 3 May 2023

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-022-02838-5

zbMATH Keywords

Sasakian space forms\(\Phi\)-LaplacianReilly-type inequalityeigenvalues estimatessemislant submanifolds

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Local submanifolds (53B25)

Related Items (5)

Inequalities for the class of warped product submanifold of para-cosymplectic manifolds ⋮ The Darboux trihedrons of timelike surfaces in the Lorentzian 3-space ⋮ A study of conformal \(\eta \)-Einstein solitons on trans-Sasakian 3-manifold ⋮ Singularity properties of timelike circular surfaces in Minkowski 3-space ⋮ Conformal Ricci soliton and almost conformal Ricci soliton in paracontact geometry

Cites Work

• 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
• Eigenvalue comparison theorems and its geometric applications
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• 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
• Some eigenvalues estimate for the \(\phi\)-Laplace operator on slant submanifolds of Sasakian space forms
• 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
• Sharp estimates on the first eigenvalue of the \(p\)-Laplacian with negative Ricci lower bound
• The analysis from nonlinear distance metric to kernel-based prescription prediction system
• First eigenvalue of the $p$-Laplacian on Kähler manifolds
• Geometric classification of warped products isometrically immersed into Sasakian space forms
• On Totally Real Submanifolds
• SLANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS
• The first eigenvalue for the p-Laplacian on Lagrangian submanifolds in complex space forms
• Eigenvalue inequalities for the p-Laplacian operator on C-totally real submanifolds in Sasakian space forms
• A class of biminimal Legendrian submanifolds in Sasakian space forms

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