A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds

Matheus Nunes Soares; Fábio Reis dos Santos

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arXiv · 2501.06952

A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds

Matheus Nunes Soares·Fábio Reis dos Santos

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Abstract

A Liouville-type result for the p-Laplacian on complete Riemannian manifolds is proved. As an application are present some results concerning complete non-compact hypersurfaces immersed in a suitable warped product manifold.

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Matheus Nunes Soares, Fábio Reis dos Santos. 2025-01-12. A Liouville-type theorem for the p-Laplacian on complete non-compact Riemannian manifolds. https://arxiv.org/abs/2501.06952

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