Hardy and Rellich inequalities for anisotropic p-sub-Laplacians

Autor:	Bolys Sabitbek, Michael Ruzhansky, Durvudkhan Suragan
Rok vydání:	2020
Předmět:	Mathematics::Analysis of PDEs 0211 other engineering and technologies 02 engineering and technology Type (model theory) 01 natural sciences Combinatorics Mathematics - Analysis of PDEs Anisotropic p-sub-Laplacian Hardy inequality FOS: Mathematics Picone identity 35A23 35H20 0101 mathematics Anisotropy Mathematics Algebra and Number Theory ULTRAPARABOLIC EQUATIONS Functional analysis Group (mathematics) 010102 general mathematics 021107 urban & regional planning Rellich inequality Mathematics::Spectral Theory Operator theory Mathematics and Statistics Stratified group Analysis Analysis of PDEs (math.AP)
Zdroj:	BANACH JOURNAL OF MATHEMATICAL ANALYSIS
ISSN:	1735-8787 2662-2033
DOI:	10.1007/s43037-019-00011-7
Popis:	In this paper we establish the subelliptic Picone type identities. As consequences, we obtain Hardy and Rellich type inequalities for anisotropic p-sub-Laplacians which are operators of the form $$\begin{aligned} {\mathcal {L}}_{p}f:= \sum _{i=1}^{N} X_i\left( |X_i f|^{p_i-2} X_i f \right) ,\quad 1
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::766ee89adc2108c0f6f30d168a84a0ce https://doi.org/10.1007/s43037-019-00011-7 Zobrazit plný text záznamu Full text from SpringerLink