On the relation between generalized Morrey spaces and measure data problems

DOI10.1016/j.na.2018.06.011zbMath1404.35205OpenAlexW2826098008WikidataQ129553184 ScholiaQ129553184MaRDI QIDQ1626675

Paolo Baroni

Publication date: 21 November 2018

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.2018.06.011

zbMATH Keywords

\(p\)-Laplaciangradient integrability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Regularizing effect of the lower-order terms in elliptic problems with Orlicz growth ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Elliptic problems with growth in nonreflexive Orlicz spaces and with measure or \(L^1\) data ⋮ Maximal integrability for general elliptic problems with diffusive measures

Cites Work

• Universal potential estimates
• Marcinkiewicz estimates for degenerate parabolic equations with measure data
• Singular parabolic equations, measures satisfying density conditions, and gradient integrability
• Gradient potential estimates
• Nonlinear measure data problems
• Gradient estimates below the duality exponent
• Nonlinear elliptic and parabolic equations involving measure data
• Quasilinear elliptic problems with general growth and merely integrable, or measure, data
• Nonlinear Calderón-Zygmund theory in the limiting case
• Vectorial nonlinear potential theory
• Thin sets in nonlinear potential theory
• Optimal Orlicz-Sobolev embeddings
• Linear potentials in nonlinear potential theory
• Global estimates for nonlinear parabolic equations
• The Wolff gradient bound for degenerate parabolic equations
• Generalized fractional integral operators and fractional maximal operators in the framework of Morrey spaces
• Morrey Space
• Uniqueness and maximal regularity for nonlinear elliptic systems of n--Laplace type with measure valued right hand side
• Guide to nonlinear potential estimates
• Fractional Integration in Orlicz Spaces. I
• Function Spaces
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• Unnamed Item
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• Unnamed Item