Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids

DOI10.3934/cpaa.2016.15.1335zbMath1348.35051OpenAlexW2342095277MaRDI QIDQ324009

Jianfeng Zhou, Zhong Tan

Publication date: 10 October 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016.15.1335

zbMATH Keywords

weak solutionelectrorheological fluidshigher integrability\(p(x)\)-Laplacereversed Hölder inequality

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30)

Related Items (2)

Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions ⋮ Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lebesgue and Sobolev spaces with variable exponents
• Electrorheological fluids: modeling and mathematical theory
• Optimal partial regularity of second order parabolic systems under controllable growth condition
• Regularity and existence of solutions of elliptic equations with p,q- growth conditions
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• A note on steady flow of fluids with shear dependent viscosity
• Sobolev embeddings with variable exponent
• Variable Exponent, Linear Growth Functionals in Image Restoration
• A multiplicity result for a nonlinear degenerate problem arising in the theory of electrorheological fluids
• Mathematical modeling of electrorheological materials

This page was built for publication: Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids