Divergence form operators in Reifenberg flat domains

DOI10.1007/s00209-008-0450-2zbMath1186.35047arXiv0804.1242OpenAlexW2109808131MaRDI QIDQ846878

Tatiana Toro, Emmanouil Milakis

Publication date: 15 February 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1242

zbMATH Keywords

Reifenberg flat domainchord arc domainelliptic measure

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Boundary values of solutions to elliptic equations and elliptic systems (35J67)

Related Items (24)

Generalized Carleson perturbations of elliptic operators and applications ⋮ Regularity and free boundary regularity for the $p$-Laplace operator in Reifenberg flat and Ahlfors regular domains ⋮ Quantitative stability for the first Dirichlet eigenvalue in Reifenberg flat domains in \(\mathbb R^N\) ⋮ Harmonic analysis on chord arc domains ⋮ Regularity estimates for nonlinear elliptic measure data problems with nonstandard growth ⋮ Perturbation of elliptic operators in 1-sided NTA domains satisfying the capacity density condition ⋮ Global regularity for divergence form elliptic equations in Orlicz spaces on quasiconvex domains ⋮ Survey on gradient estimates for nonlinear elliptic equations in various function spaces ⋮ Asymptotically regular operators in generalized Morrey spaces ⋮ Optimal Poisson kernel regularity for elliptic operators with Hölder continuous coefficients in vanishing chord-arc domains ⋮ The Calderón-Zygmund property for quasilinear divergence form equations over Reifenberg flat domains ⋮ Small-constant uniform rectifiability ⋮ Lorentz improving estimates for the \(p\)-Laplace equations with mixed data ⋮ Weighted estimates for generalized steady Stokes systems in nonsmooth domains ⋮ Optimal doubling, Reifenberg flatness and operators of \(p\)-Laplace type ⋮ Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth ⋮ Carleson perturbations of elliptic operators on domains with low dimensional boundaries ⋮ Irregular double obstacle problems with Orlicz growth ⋮ Lorentz gradient estimates for a class of elliptic \(p\)-Laplacian equations with a Schrödinger term ⋮ Global gradient estimates for the borderline case of double phase problems with BMO coefficients in nonsmooth domains ⋮ A stability result for nonlinear Neumann problems in Reifenberg flat domains in \(\mathbb R^N\) ⋮ Optimal regularity estimates for general nonlinear parabolic equations ⋮ Gradient estimate of a variable power for nonlinear elliptic equations with Orlicz growth ⋮ Global gradient estimates for a general class of quasilinear elliptic equations with Orlicz growth

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