Study estimates first eigenvalues in compact submanifolds, suggesting new bounds for these mathematical problems.
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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Azami et al. (2025) studied this question.
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