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

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

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 submersi...

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Veröffentlicht in:Journal of mathematical analysis and applications 2022-02, Vol.506 (2), p.125703, Article 125703
Hauptverfasser: de S. Carvalho, Francisco G., de A. Cavalcante, Marcos P.
Format: Artikel
Sprache:eng
Schlagworte:
Nonlinear eigenvalues problems
p-Laplacian operator on Riemannian manifolds
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Zusammenfassung: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.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2021.125703