Principal frequency of p-sub-Laplacians for general vector fields

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we prove the uniqueness and simplicity of the principal frequency (or the first eigenvalue) of the Dirichlet p-sub-Laplacian for general vector fields. As a byproduct, we establish the Caccioppoli inequalities and also discuss the particular cases on the Grushin plane and on the Heisenberg group.

Original languageEnglish
Pages (from-to)97-109
Number of pages13
JournalZeitschrift fur Analysis und ihre Anwendung
Volume40
Issue number1
DOIs
Publication statusPublished - 2021

Keywords

  • Caccioppoli inequality
  • P-sub-Laplacian
  • Picone’s identity
  • Principal frequency
  • Smooth manifold

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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