Principal frequency of p-sub-Laplacians for general vector fields
Analysis of PDEs
2024-02-15 v1
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.
Cite
@article{arxiv.2008.05999,
title = {Principal frequency of p-sub-Laplacians for general vector fields},
author = {Michael Ruzhansky and Bolys Sabitbek and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2008.05999},
year = {2024}
}