The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates

DOI10.1016/j.na.2016.06.011zbMath1370.35064OpenAlexW2517887892MaRDI QIDQ515927

Tuomo Kuusi, Dominic Breit, Andrea Cianchi, Sebastian Schwarzacher, Lars Diening

Publication date: 17 March 2017

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.2016.06.011

zbMATH Keywords

gradient regularitysharp maximal operator

Mathematics Subject Classification ID

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 (20)

Regularity estimates for BMO-weak solutions of quasilinear elliptic equations with inhomogeneous boundary conditions ⋮ On fractional regularity methods for a class of nonlocal problems ⋮ Elliptic Equations with Degenerate Weights ⋮ The Poisson equation involving surface measures ⋮ A regularity result via fractional maximal operators for p-Laplace equations in weighted Lorentz spaces ⋮ Boundary regularity results for minimisers of convex functionals with \((p, q)\)-growth ⋮ Lorentz improving estimates for the \(p\)-Laplace equations with mixed data ⋮ Level-set inequalities on fractional maximal distribution functions and applications to regularity theory ⋮ Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth ⋮ Potential estimates for the \(p\)-Laplace system with data in divergence form ⋮ Up-to-boundary pointwise gradient estimates for very singular quasilinear elliptic equations with mixed data ⋮ The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates ⋮ A weak solution to quasilinear elliptic problems with perturbed gradient ⋮ New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data ⋮ Global Lorentz estimates for nonuniformly nonlinear elliptic equations via fractional maximal operators ⋮ Multigoal-oriented error estimates for non-linear problems ⋮ Pointwise gradient estimates for subquadratic elliptic systems with discontinuous coefficients ⋮ On global \(L^q\) estimates for systems with \(p\)-growth in rough domains ⋮ Higher order Calderón-Zygmund estimates for the \(p\)-Laplace equation ⋮ Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications

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