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Optimal lower estimate for the first eigenvalue of the p-Laplacian

Matheus Nunes Soares, Fábio Reis do Santos

Abstract

An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.

Optimal lower estimate for the first eigenvalue of the p-Laplacian

Abstract

An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.
Paper Structure (3 sections, 53 equations)

This paper contains 3 sections, 53 equations.

Table of Contents

  1. Introduction and statements of the main result
  2. Some preliminaries and key lemmas
  3. Proof of Theorem \ref{['thm:1.2']}

Theorems & Definitions (1)

  • proof