The Calderón–Zygmund estimates for a class of nonlinear elliptic equations with measure data

DOI10.1002/mana.201800334zbMath1529.35110OpenAlexW3119004560MaRDI QIDQ6057880

Shen-Zhou Zheng, Shuang Liang

Publication date: 5 October 2023

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

Full work available at URL: https://doi.org/10.1002/mana.201800334

zbMATH Keywords

nonlinear elliptic equationsRadon measureCalderòn-Zygmund-type estimatesfractional-order Sobolev-Morrey spaces

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations (35J62) PDEs with measure (35R06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear potential theory of elliptic systems
• Elliptic systems with measure data
• Gradient estimates via linear and nonlinear potentials
• Nonlinear elliptic and parabolic equations involving measure data
• The Wiener test and potential estimates for quasilinear elliptic equations
• The \(p\)-harmonic system with measure-valued right hand side
• Nonlinear Calderón-Zygmund theory in the limiting case
• Semi-linear second-order elliptic equations in \(L^1\)
• Existence and uniqueness of entropy solutions for nonlinear elliptic equations with measure data
• Linear potentials in nonlinear potential theory
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Higher differentiability for solutions of linear elliptic systems with measure data
• Gradient estimates via non-linear potentials
• A note on the Wolff potential estimate for solutions to elliptic equations involving measures
• Nonlinear Elliptic Equations with Right Hand Side Measures
• On the weak continuity of elliptic operators and applications to potential theory
• Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
• Guide to nonlinear potential estimates

This page was built for publication: The Calderón–Zygmund estimates for a class of nonlinear elliptic equations with measure data