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arXiv · 2008.05999

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

Michael Ruzhansky·Bolys Sabitbek·Durvudkhan Suragan
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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.

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Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan. 2020-08-13. Principal frequency of p-sub-Laplacians for general vector fields. https://doi.org/10.4171/zaa%2F1674

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