Global weighted Orlicz estimates for parabolic measure data problems: application to estimates in variable exponent spaces

DOI10.1016/j.jmaa.2018.07.059zbMath1395.35050OpenAlexW2886937252MaRDI QIDQ1664493

Sun-Sig Byun, Jung-Tae Park

Publication date: 27 August 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.07.059

zbMATH Keywords

extrapolationCalderón-Zygmund estimateReifenberg flat domainoptimal regularityweighted Orlicz space

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) A priori estimates in context of PDEs (35B45)

Related Items (7)

Unnamed Item ⋮ Marcinkiewicz regularity for singular parabolic \(p\)-Laplace type equations with measure data ⋮ Global Calderón-Zygmund estimate for \(p\)-Laplacian parabolic system ⋮ Estimates for the p‐Laplacian‐type operator in the subcritical Sobolev exponent range ⋮ Survey on gradient estimates for nonlinear elliptic equations in various function spaces ⋮ Global regularity for degenerate/singular parabolic equations involving measure data ⋮ Weighted gradient estimates for general nonlinear elliptic equations involving measure data

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