A \({\mathtt p}(\cdot )\)-Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups
type: Item
instance of: scholarly article
title: A \({\mathtt p}(\cdot )\)-Poincaré-type inequality for variable exponent Sobolev spaces with zero boundary values in Carnot groups
zbMATH Open document ID: 1404.46030
author: Thomas Bieske
author: Robert D. Freeman
published in: Analysis and Mathematical Physics
publication date: 2018-08-29T00:00:00Z
Mathematics Subject Classification ID: 46E35
Mathematics Subject Classification ID: 35J66
Mathematics Subject Classification ID: 53C17
Mathematics Subject Classification ID: 31C45
Mathematics Subject Classification ID: 35H20
Mathematics Subject Classification ID: 22E25
Mathematics Subject Classification ID: 31E05
zbMATH DE Number: 6928658
zbMATH Keywords: Poincaré inequality
zbMATH Keywords: Sobolev spaces with zero boundary values
zbMATH Keywords: Dirichlet energy minimizer
MaRDI profile type: Publication
full work available at URL: s13324-018-0235-7
OpenAlex ID: W2804675447
cites work: Regularity results for a class of functionals with non-standard growth
cites work: Q4858060
cites work: Q4718346
cites work: Q3994903
cites work: Inequalities of Hardy–Sobolev Type in Carnot–Carathéodory Spaces
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Representation formulas and weighted Poincaré inequalities for Hörmander vector fields
cites work: Q4718347
cites work: Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)
cites work: The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
cites work: Variable exponent Sobolev spaces on metric measure spaces
cites work: Variable exponent Lebesgue spaces on metric spaces: the Hardy-Littlewood maximal operator
cites work: Q4693180
cites work: The Poincaré inequality for vector fields satisfying Hörmander's condition
cites work: Q4400436
cites work: Sobolev spaces with zero boundary values on metric spaces
cites work: Q4896353
cites work: Q4021390
cites work: Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition in variable exponent Sobolev spaces
cites work: Weighted Poincaré and Sobolev inequalities for vector fields satisfying Hörmander's condition and applications
cites work: The sharp Poincaré inequality for free vector fields: An endpoint result
cites work: Q4354419
cites work: Harmonic functions on metric spaces
cites work: Analysis on nilpotent groups
cites work: Sobolev inequalities on Lie groups and symmetric spaces
DOI: 10.1007/S13324-018-0235-7
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description: scientific article; zbMATH DE number 6928658