Nonlinear measure data problems

DOI10.1007/s00032-011-0168-1zbMath1236.35068OpenAlexW2066492455WikidataQ58880803 ScholiaQ58880803MaRDI QIDQ653919

Giuseppe Mingione

Publication date: 20 December 2011

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-011-0168-1

zbMATH Keywords

\(p\)-Laplaciangradient estimatesregularity of solutionsCalderón-Zygmund theoryquasilinear degenerate equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Degenerate elliptic equations (35J70) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Quasilinear elliptic equations (35J62) Quasilinear parabolic equations (35K59)

Related Items (43)

Nonlinear potential theory of elliptic systems ⋮ Recent progress in nonlinear potential theory ⋮ Existence and regularity of solutions for nonlinear measure data problems with general growth ⋮ Global Hölder continuity of solutions to quasilinear equations with Morrey data ⋮ On the relation between generalized Morrey spaces and measure data problems ⋮ Lorentz estimates for degenerate and singular evolutionary systems ⋮ Smallness and cancellation in some elliptic systems with measure data ⋮ Marcinkiewicz regularity for singular parabolic \(p\)-Laplace type equations with measure data ⋮ Regularity estimates for quasilinear elliptic equations with variable growth involving measure data ⋮ Recent Advances in Nonlinear Potential Theory ⋮ Fractional porous media equations: existence and uniqueness of weak solutions with measure data ⋮ Potential estimates for elliptic measure data problems with irregular obstacles ⋮ Fractional differentiability for elliptic measure data problems with variable exponents ⋮ Potential Estimates and Quasilinear Parabolic Equations with Measure Data ⋮ Fractional differentiability for elliptic double obstacle problems with measure data ⋮ A NOTE ON QUASILINEAR ELLIPTIC SYSTEMS WITH L^\infty-DATA ⋮ BMO-regularity for a degenerate transmission problem ⋮ Nonlinear parabolic problems with lower order terms and related integral estimates ⋮ Universal potential estimates ⋮ Potential estimates for fully nonlinear elliptic equations with bounded ingredients ⋮ Global estimates for nonlinear parabolic equations ⋮ Short Tales from Nonlinear Calderón-Zygmund Theory ⋮ Pointwise gradient estimates ⋮ Fractional differentiability results for nonlinear measure data problems with coefficients in \(C_\gamma^\alpha\) ⋮ Optimal fractional differentiability for nonlinear parabolic measure data problems ⋮ Marcinkiewicz estimates for degenerate parabolic equations with measure data ⋮ Global integrability for solutions to quasilinear elliptic systems ⋮ Morrey global bounds and quasilinear Riccati type equations below the natural exponent ⋮ Global regularity for degenerate/singular parabolic equations involving measure data ⋮ Elliptic systems with measure data ⋮ Quasilinear elliptic systems with measure data ⋮ Singular parabolic equations, measures satisfying density conditions, and gradient integrability ⋮ Borderline Estimates for Fully Nonlinear Elliptic Equations ⋮ Global integral gradient bounds for quasilinear equations below or near the natural exponent ⋮ Guide to nonlinear potential estimates ⋮ Measure data problems, lower-order terms and interpolation effects ⋮ Generalizations of Stampacchia Lemma and applications to quasilinear elliptic systems ⋮ Estimates for parabolic equations with measure data in generalized Morrey spaces ⋮ Optimal regularity for nonlinear elliptic equations with righthand side measure in variable exponent spaces ⋮ Fundamental Solutions for Anisotropic Elliptic Equations: Existence and A Priori Estimates ⋮ Nonlocal equations with measure data ⋮ Maximal integrability for general elliptic problems with diffusive measures ⋮ Fractional differentiability for a class of double phase problems with measure data

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