Global gradient estimates for general nonlinear elliptic measure data problems with Orlicz growth

DOI10.1016/j.jmaa.2023.127080OpenAlexW4318942864MaRDI QIDQ2695990

Junjie Zhang, Shen-Zhou Zheng

Publication date: 5 April 2023

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.2023.127080

zbMATH Keywords

Calderón-Zygmund theoryReifenberg flat domainmeasure data problemOrlicz growth\((\delta, R_0)\)-BMO condition

Mathematics Subject Classification ID

Parabolic equations and parabolic systems (35Kxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

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• Interior a priori estimates for solutions of fully nonlinear equations
• Gradient estimates below the duality exponent
• Gradient estimates for a class of parabolic systems
• Quasilinear Riccati type equations with distributional data in Morrey space framework
• Global \(W^{1,p(\cdot)}\) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains
• Quasilinear elliptic problems with general growth and merely integrable, or measure, data
• Regularity estimates for quasilinear elliptic equations with variable growth involving measure data
• Interior Calderón-Zygmund estimates for solutions to general parabolic equations of \(p\)-Laplacian type
• Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators
• Vectorial nonlinear potential theory
• Weighted variable exponent Sobolev estimates for elliptic equations with non-standard growth and measure data
• Global Sobolev regularity for general elliptic equations of \(p\)-Laplacian type
• Linear potentials in nonlinear potential theory
• Gradient potential estimates for elliptic obstacle problems
• Nonlinear gradient estimates for parabolic obstacle problems in non-smooth domains
• Gradient estimates for a class of quasilinear elliptic equations with measure data
• Weighted gradient estimates for general nonlinear elliptic equations involving measure data
• Riesz potential estimates for a general class of quasilinear equations
• Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations
• Interior gradient estimates for quasilinear elliptic equations
• On the existence of certain singular integrals
• Gradient estimates via non standard potentials and continuity
• Elliptic equations with BMO coefficients in Reifenberg domains
• Fractional estimates for non-differentiable elliptic systems with general growth
• The natural generalizationj of the natural conditions of ladyzhenskaya and uralľtseva for elliptic equations
• Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth
• Gradient Estimates and Global Existence of Smooth Solutions to a Cross-Diffusion System

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