Optimal gradient estimates via Riesz potentials for p(·)-Laplacian type equations

DOI10.1093/qmath/hax013zbMath1412.35138OpenAlexW2771926324MaRDI QIDQ4555464

Yeonghun Youn, Sun-Sig Byun

Publication date: 20 November 2018

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/hax013

zbMATH Keywords

Borel measuredegenerate elliptic equationsRiesz potentialCalderon-Zygmund estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70)

Related Items (13)

Local higher integrability of the gradient of a quasiminimizer under generalized Orlicz growth conditions ⋮ Potential estimates for elliptic measure data problems with irregular obstacles ⋮ Fractional differentiability for elliptic measure data problems with variable exponents ⋮ Wolff potentials and measure data vectorial problems with Orlicz growth ⋮ Gradient continuity for \(p(x)\)-Laplacian systems under minimal conditions on the exponent ⋮ Fractional differentiability results for nonlinear measure data problems with coefficients in \(C_\gamma^\alpha\) ⋮ Gradient estimates for a class of quasilinear elliptic equations with measure data ⋮ Pointwise gradient bounds for a class of very singular quasilinear elliptic equations ⋮ Global gradient estimates for a borderline case of double phase problems with measure data ⋮ Estimates for parabolic equations with measure data in generalized Morrey spaces ⋮ Boundary Riesz potential estimates for elliptic equations with measurable nonlinearities ⋮ Potential estimates for elliptic systems with subquadratic growth ⋮ Fractional differentiability for a class of double phase problems with measure data

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