An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains

DOI10.1007/s00229-015-0804-0zbMath1342.35053arXiv1412.7057OpenAlexW2227355353MaRDI QIDQ276052

Karthik Adimurthi, Nguyen Cong Phuc

Publication date: 26 April 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.7057

zbMATH Keywords

weighted Lorentz spacesMuckenhoupt classReifenberg flat domainBMO conditionglobal gradient estimate

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) A priori estimates in context of PDEs (35B45) Quasilinear elliptic equations with (p)-Laplacian (35J92) Harmonic analysis and PDEs (42B37)

Related Items

An end point Orlicz type estimate for nonlinear elliptic equations, Gradient weighted estimates at the natural exponent for quasilinear parabolic equations, Quasilinear equations with natural growth in the gradients in spaces of Sobolev multipliers, Quasilinear Riccati-type equations with oscillatory and singular data, Self-improving properties of very weak solutions to double phase systems, Weighted variable Lorentz regularity for degenerate elliptic equations in Reifenberg domains, Estimates for the p‐Laplacian‐type operator in the subcritical Sobolev exponent range, Sharp gradient estimates for quasilinear elliptic equations with \(p(x)\) growth on nonsmooth domains, Gradient weighted norm inequalities for linear elliptic equations with discontinuous coefficients, Weighted gradient estimates for elliptic problems with Neumann boundary conditions in Lipschitz and (semi-)convex domains, Weighted global regularity estimates for elliptic problems with Robin boundary conditions in Lipschitz domains, End point gradient estimates for quasilinear parabolic equations with variable exponent growth on nonsmooth domains, Characterizations of predual spaces to a class of Sobolev multiplier type spaces, Gradient estimates for non-uniformly elliptic problems with BMO nonlinearity

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