Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations
type: Item
instance of: scholarly article
title: Hodge decomposition of variable exponent spaces of Clifford-valued functions and applications to Dirac and Stokes equations
zbMATH Open document ID: 1443.30016
author: Yongqiang Fu
author: Vicenţiu D. Rădulescu
author: Binlin Zhang
publication date: 2020-10-08T00:00:00Z
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35Q40
zbMATH DE Number: 7258307
zbMATH Keywords: Clifford analysis
zbMATH Keywords: \(L^{p(x)}\)-decomposition
zbMATH Keywords: \(A\)-Dirac equation
zbMATH Keywords: Stokes equation
zbMATH Keywords: variable exponent
MaRDI profile type: Publication
full work available at URL: j.camwa.2015.05.020
OpenAlex ID: W579208708
cites work: A Dirichlet Problem for Harmonic Functionals, with Applications to Analytic Varities
cites work: Sur l'analysis situs des variétés à \(n\) dimensions
cites work: Q5849999
cites work: Lebesgue and Sobolev spaces with variable exponents
cites work: Nonlinear elliptic equations with variable exponent: old and new
cites work: Partial Differential Equations with Variable Exponents
cites work: Q4021390
cites work: On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
cites work: Weak solution for obstacle problem with variable growth
cites work: Electrorheological fluids: Modeling and mathematical theory
cites work: On the modeling of electrorheological materials
cites work: Q4490326
cites work: Q4506401
cites work: Campanato estimates for the generalized Stokes system
cites work: \(A\)-harmonic equations and the Dirac operator
cites work: Nonlinear \(A\)-Dirac equations
cites work: Q4382291
cites work: \(L^q\) theory for a generalized Stokes system
cites work: BMO estimates for the \(p\)-Laplacian
cites work: Clifford valued weighted variable exponent spaces with an application to obstacle problems
cites work: Weak solutions for elliptic systems with variable growth in Clifford analysis
cites work: Q5409242
cites work: Quaternionic analysis and elliptic boundary value problems
cites work: On a direct decomposition of the space \({\mathcal L}_p(\Omega)\)
cites work: Variational problems in Clifford analysis
cites work: Q5301029
cites work: Q4435147
cites work: Q3414551
cites work: The principle of concentration compactness in \(L^{p(x)}\) spaces and its application
cites work: The Stokes and Poisson problem in variable exponent spaces
cites work: Doubts and hopes in quantumelectrodynamics
cites work: A Remark on the Coupling of Gravitation and Electron
cites work: Q4331959
cites work: \(p\)-Dirac operators
cites work: Overview of differential equations with non-standard growth
cites work: Functional analysis, Sobolev spaces and partial differential equations
cites work: Elliptic boundary value problems of fluid dynamics over unbounded domains
cites work: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
cites work: Espaces d'interpolation et théorème de Soboleff
cites work: An introduction to Sobolev spaces and interpolation spaces
cites work: Q5531981
cites work: Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
DOI: 10.1016/J.CAMWA.2015.05.020
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 7258307