Local gradient estimates for nonlinear elliptic equations

DOI10.1016/j.jmaa.2007.05.034zbMath1132.35373OpenAlexW2161087335MaRDI QIDQ2473894

Caifang Wang, Feng-Ping Yao

Publication date: 5 March 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.05.034

zbMATH Keywords

quasilinear elliptic equationweak solutionsgradient estimatessmall BMO

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Cites Work

• Unnamed Item
• Gradient estimates for a class of parabolic systems
• Regularity for a more general class of quasilinear equations
• Parabolic equations in Reifenberg domains
• Elliptic equations with BMO coefficients in Reifenberg domains
• Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• On the Higher Integrability of the Gradient of Weak Solutions of Certain Degenerate Elliptic Systems
• A Local estimate for nonlinear equations with discontinuous coefficients
• Gradient estimates for thep(x)-Laplacean system