发表机构
Universidade Federal de Pernambuco（巴西联邦伯南布哥大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文把Gage上界推广至$p$-Laplacian，得到空间形式子流形及乘积空间上$p$-基本音调的上界估计。
AI 中文摘要
将经典Gage关于完备非紧黎曼流形上Laplacian基本音调的上界推广到$p$-Laplacian情形。作为应用，给出了常非正截面曲率空间形式中完备非紧子流形及一类乘积空间上$p$-基本音调的上界估计。
英文摘要
A generalization of the classical Gage's upper bound for the fundamental tone of the Laplacian on complete non-compact Riemannian manifolds to the $p$-Laplacian context is obtained. As an application, upper estimates for the $p$-fundamental tone of complete non-compact submanifolds of space forms with constant nonpositive sectional curvature, and for a class of product spaces, are presented.
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