Principal frequency of p-sub-Laplacians for general vector fields
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866911776603373568 |
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| author | Ruzhansky, Michael Sabitbek, Bolys Suragan, Durvudkhan |
| author_facet | Ruzhansky, Michael Sabitbek, Bolys Suragan, Durvudkhan |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2008_05999 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Principal frequency of p-sub-Laplacians for general vector fields Ruzhansky, Michael Sabitbek, Bolys Suragan, Durvudkhan Analysis of PDEs 35P30, 35H99 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. |
| title | Principal frequency of p-sub-Laplacians for general vector fields |
| topic | Analysis of PDEs 35P30, 35H99 |
| url | https://arxiv.org/abs/2008.05999 |