Global Calderón–Zygmund Theory for Asymptotically Regular Nonlinear Elliptic and Parabolic Equations

DOI10.1093/imrn/rnu203zbMath1329.35148OpenAlexW2123762546MaRDI QIDQ2949672

Jehan Oh, Lihe Wang, Sun-Sig Byun

Publication date: 2 October 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnu203

zbMATH Keywords

Calderón-Zygmund theoryReifenberg domainnonlinear elliptic and parabolic equationsasymptotically regular problems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60)

Related Items (20)

\(W^{2,p}\) estimates for solutions to asymptotically elliptic equations in nondivergence form ⋮ Calderón–Zygmund estimate for asymptotically regular elliptic equations with L^p(x) -logarithmic growth ⋮ Weighted regularity estimates for a class of higher-order nonlinear parabolic and elliptic systems ⋮ Weighted Lorentz estimate for asymptotically regular parabolic equations of \(p(x, t)\)-Laplacian type ⋮ Global gradient estimates for asymptotically regular problems of p(x)-Laplacian type ⋮ Global Morrey regularity for asymptotically regular elliptic equations ⋮ Sobolev regularity for quasilinear parabolic equations with asymptotically regular nonlinearity ⋮ An optimal gradient estimate for asymptotically regular variational integrals with multi-phase ⋮ Regularity for asymptotically regular elliptic double obstacle problems of multi-phase ⋮ Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Calderón–Zygmund theory for asymptotically regular nonlinear elliptic problems with double obstacles ⋮ Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications ⋮ Global gradient estimates for divergence-type elliptic problems involving general nonlinear operators ⋮ Weighted Orlicz regularity estimates for fully nonlinear elliptic equations with asymptotic convexity ⋮ Lorentz estimate for nonlinear parabolic obstacle problems with asymptotically regular nonlinearities ⋮ Calderón-Zygmund estimate for asymptotically regular non-uniformly elliptic equations ⋮ \( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values ⋮ On global \(L^q\) estimates for systems with \(p\)-growth in rough domains ⋮ \(W^{1, p(\cdot)}\)-regularity for a class of non-uniformly elliptic problems with Orlicz growth

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