The divergence equation in weighted- and \(L^{p(\cdot)}\)-spaces

DOI10.1007/s00209-009-0622-8zbMath1217.42033OpenAlexW1984896661MaRDI QIDQ627482

Alexander Huber

Publication date: 2 March 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-009-0622-8

zbMATH Keywords

singular integralsMuckenhoupt weightsdivergence equationfluids with \(p(\cdot)\)-growthLebesgue spaces with variable exponents

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (4)

Classical solutions of the divergence equation with Dini continuous data ⋮ Steady flows of Cosserat-Bingham fluids ⋮ Existence of steady solutions for micropolar electrorheological fluid flows ⋮ Variable exponent Bochner-Lebesgue spaces with symmetric gradient structure

Cites Work

• Maximal functions on Musielak--Orlicz spaces and generalized Lebesgue spaces
• An explicit right inverse of the divergence operator which is continuous in weighted norms
• Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spacesLp(·) andWk,p(·)
• On Singular Integrals
• Sobolev type inequalities for p>0
• A note on steady flow of fluids with shear dependent viscosity
• An existence result for fluids with shear dependent viscosity — Steady flows
• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics
• On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
• Weighted Norm Inequalities for the Hardy Maximal Function
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The divergence equation in weighted- and \(L^{p(\cdot)}\)-spaces