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Estimates on the first eigenvalues of q-Wentzell-Laplace problem | Synapse

April 3, 2026Open Access

Estimates on the first eigenvalues of q-Wentzell-Laplace problem

SAShahroud AzamiImam Khomeini International University VPVahid PirhadiUniversity of Kashan GRGhodratallah Fasihi RamandiImam Khomeini International University

Key Points

This research aims to estimate the first eigenvalues for the q-Wentzell-Laplace problem on compact submanifolds and obtain bounds for them.
Analyzed first eigenvalues related to the q-Wentzell-Laplace problem.
Derived Reilly-type upper bounds for these eigenvalues.
Investigated eigenvalue behavior in product manifolds, specifically R × M.
Obtained upper bounds for first eigenvalues under specific conditions.
Findings are consistent with previous research results.
Demonstrated implications for eigenvalues in geometric contexts.

Abstract

In this study, we consider the first eigenvalues associated with the q-Wentzell-Laplace problem on a compact submanifold M that possesses a boundary ?M and we obtain Reilly-type upper bounds for these eigenvalues. Our findings, in particular scenarios, align with the results presented in 14. Additionally, we investigate the upper bounds of these eigenvalues within the context of product manifolds R ? M.

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Cite This Study

Azami et al. (Wed,) studied this question.

synapsesocial.com/papers/69cf5de95a333a821460bebc https://doi.org/https://doi.org/10.2298/fil2524465a