Calderón–Zygmund estimate for asymptotically regular elliptic equations with Lp(x) -logarithmic growth

DOI10.1080/17476933.2020.1816988zbMath1484.35095OpenAlexW3085282331MaRDI QIDQ5037252

Shuang Liang, Shen-Zhou Zheng

Publication date: 28 February 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1816988

zbMATH Keywords

asymptotically regularCalderón-Zygmund estimatelog-Hölder continuity\(\delta R_0\)-vanishingvariable exponent logarithmic growth

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (1)

W^1,γ(·)-estimate to non-uniformly elliptic obstacle problems with borderline growth

Cites Work

• Unnamed Item
• Gradient estimates for elliptic equations with \(L^{p(\cdot )}\log L\) growth
• New perturbation methods for nonlinear parabolic problems
• Hölder regularity of quasiminimizers under generalized growth conditions
• Lebesgue and Sobolev spaces with variable exponents
• Regularity for non-autonomous functionals with almost linear growth
• Orlicz spaces and modular spaces
• Asymptotically regular problems I: Higher integrability
• Global regularity for almost minimizers of nonconvex variational problems
• Global regularity in Lorentz spaces for nonlinear elliptic equations with \(L^{p(\cdot)} \log L\)-growth
• Quasilinear elliptic problems with general growth and merely integrable, or measure, data
• Regularity results for a new class of functionals with non-standard growth conditions
• Calderón-Zygmund estimate for asymptotically regular non-uniformly elliptic equations
• Weighted Lorentz estimate for asymptotically regular parabolic equations of \(p(x, t)\)-Laplacian type
• Non-autonomous functionals, borderline cases and related function classes
• Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations
• Elliptic equations with BMO coefficients in Reifenberg domains
• Asymptotically regular problems II: Partial Lipschitz continuity and a singular set of positive measure
• Linearisation at infinity and Lipschitz estimates for certain problems in the calculus of variations
• Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type
• Lipschitz regularity of solutions of some asymptotically convex problems
• Gradient estimates for thep(x)-Laplacean system
• Weighted Norm Inequalities for the Hardy Maximal Function
• Regularity results for a class of functionals with non-standard growth

This page was built for publication: Calderón–Zygmund estimate for asymptotically regular elliptic equations with L^p(x) -logarithmic growth