On the fundamental tone of the $p$-Laplacian on Riemannian manifolds and applications

Francisco G. de S. Carvalho; Marcos Petrucio Cavalcante

doi:10.1016/j.jmaa.2021.125703

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arXiv · 2301.12215

On the fundamental tone of the $p$-Laplacian on Riemannian manifolds and applications

Francisco G. de S. Carvalho·Marcos Petrucio Cavalcante

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Abstract

We present a general lower bound for the fundamental tone for the $p$-Laplacian on Riemannian manifolds carrying a special kind of function. We then apply our result to the cases of negatively curved simply connected manifolds, a class of warped product manifolds and for a class of Riemannian submersions.

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Francisco G. de S. Carvalho, Marcos Petrucio Cavalcante. 2023-01-28. On the fundamental tone of the $p$-Laplacian on Riemannian manifolds and applications. https://doi.org/10.1016/j.jmaa.2021.125703

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