Interior gradient estimates for weak solutions of quasilinear \(p\)-Laplacian type equations

DOI10.2140/pjm.2018.297.195zbMath1401.35104OpenAlexW2896334024MaRDI QIDQ1799058

Phan Van Tuoc

Publication date: 18 October 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2018.297.195

zbMATH Keywords

quasilinear elliptic equationsweighted Sobolev regularityCalderón-Zygmund regularity estimatesquasilinear \(p\)-Laplacian

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations (35J62)

Related Items (3)

Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions ⋮ Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles ⋮ Lorentz Estimates for Weak Solutions of Quasi-linear Parabolic Equations with Singular Divergence-free Drifts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global Calderón-Zygmund theory for nonlinear parabolic systems
• Gradient estimates via linear and nonlinear potentials
• Nonlinear gradient estimates for elliptic equations of general type
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Elliptic equations in divergence form with partially BMO coefficients
• Nonlinear elliptic equations with BMO coefficients in Reifenberg domains
• Regularity for a more general class of quasilinear equations
• Some results on regularity for solutions of non-linear elliptic systems and quasi-regular functions
• Regularity for a class of nonlinear elliptic systems
• A geometric approach to the Calderón-Zygmund estimates
• A new proof of local \(C^{1,\alpha}\) regularity for solutions of certain degenerate elliptic P.D.E
• Higher integrability for parabolic systems of \(p\)-Laplacian type
• Interior gradient estimates for quasilinear elliptic equations
• Gradient estimates via non-linear potentials
• Global Regularity of Weak Solutions to Quasilinear Elliptic and Parabolic Equations with Controlled Growth
• C1 + α local regularity of weak solutions of degenerate elliptic equations
• Projections onto gradient fields and $L^{p}$-estimates for degenerated elliptic operators
• Parabolic and Elliptic Equations with VMO Coefficients
• Boundary regularity for solutions of degenerate elliptic equations
• Weighted norm inequalities for maximal functions and singular integrals
• 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 and Global Existence of Smooth Solutions to a Cross-Diffusion System
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Interior gradient estimates for weak solutions of quasilinear \(p\)-Laplacian type equations