New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data

DOI10.1016/j.jde.2019.08.052zbMath1436.35111arXiv1905.04891OpenAlexW2972974094MaRDI QIDQ2279551

Minh-Phuong Tran, Thanh-Nhan Nguyen

Publication date: 13 December 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04891

zbMATH Keywords

quasilinear elliptic equationLorentz spacesgradient estimatescut-off fractional maximal functionsdivergence form equation

Mathematics Subject Classification ID

Second-order elliptic equations (35J15) Quasilinear elliptic equations (35J62) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (12)

A global fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data ⋮ A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces ⋮ Calderón–Zygmund type estimates for singular quasilinear elliptic obstacle problems with measure data ⋮ Lorentz improving estimates for the \(p\)-Laplace equations with mixed data ⋮ Level-set inequalities on fractional maximal distribution functions and applications to regularity theory ⋮ A gradient estimate related fractional maximal operators for a \(p\)-Laplace problem in Morrey spaces ⋮ Lorentz gradient estimates for a class of elliptic \(p\)-Laplacian equations with a Schrödinger term ⋮ Pointwise gradient bounds for a class of very singular quasilinear elliptic equations ⋮ Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators ⋮ Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces ⋮ Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications ⋮ Regularity estimates for stationary Stokes problem in some generalized function spaces

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