Weighted gradient estimates for the parabolic \(p\)-Laplacian equations

DOI10.1016/j.na.2014.09.010zbMath1304.35157OpenAlexW1976504707MaRDI QIDQ468611

Feng-Ping Yao

Publication date: 7 November 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.09.010

zbMATH Keywords

regularitygradientdivergence\(p\)-Laplacianparabolicweightedsmall BMO coefficients\(L^q\) estimatesharmonic analysis free technique

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (1)

Global weighted estimates for the nonlinear parabolic equations with non-standard growth

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universal potential estimates
• Gradient estimates via linear and nonlinear potentials
• Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
• Weighted and regularity estimates for nonlinear equations on Reifenberg flat domains
• Degenerate parabolic equations
• Nonlinear gradient estimates for elliptic equations of general type
• Global estimates for quasilinear elliptic equations on Reifenberg flat domains
• Gradient estimates for a class of parabolic systems
• Nonlinear elliptic equations with BMO coefficients in Reifenberg domains
• The Cauchy problem associated to the Benjamin equation in weighted Sobolev spaces
• Linear potentials in nonlinear potential theory
• Higher integrability for parabolic systems of \(p\)-Laplacian type
• Global weighted estimates for the gradient of solutions to nonlinear elliptic equations
• \(L^q\)-estimates of gradients for evolutional \(p\)-Laplacian systems
• Weighted estimates for nonhomogeneous quasilinear equations with discontinuous coefficients
• Gradient estimates via non-linear potentials
• Quasilinear elliptic equations with BMO coefficients in Lipschitz domains
• 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
• Weighted W ^1,p estimates for solutions of non-linear parabolic equations over non-smooth domains
• Weighted Norm Inequalities for the Hardy Maximal Function

This page was built for publication: Weighted gradient estimates for the parabolic \(p\)-Laplacian equations