Principal Frequency of $p$-Sub-Laplacians for General Vector Fields

Autor:	Bolys Sabitbek, Michael Ruzhansky, Durvudkhan Suragan
Rok vydání:	2021
Předmět:	Pure mathematics 35P30 35H99 Caccioppoli inequality media_common.quotation_subject Picone's identity 0211 other engineering and technologies 02 engineering and technology smooth manifold 01 natural sciences Dirichlet distribution symbols.namesake Mathematics - Analysis of PDEs FOS: Mathematics Heisenberg group REGULARITY Uniqueness Simplicity 0101 mathematics Eigenvalues and eigenvectors Mathematics media_common DIRICHLET PROBLEM Plane (geometry) Applied Mathematics 010102 general mathematics Principal (computer security) 021107 urban & regional planning p-sub-Laplacian Mathematics::Spectral Theory SEMILINEAR EQUATIONS principal frequency Mathematics and Statistics BOUNDARY KOHN-LAPLACIAN symbols HARNACK INEQUALITY Vector field Analysis Analysis of PDEs (math.AP)
Zdroj:	ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
ISSN:	0232-2064 1661-4534
DOI:	10.4171/zaa/1674
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83471333c81716fce602a18e3bd54d07 https://doi.org/10.4171/zaa/1674 Zobrazit plný text záznamu