On conormal and oblique derivative problem for elliptic equations with Dini mean oscillation coefficients

DOI10.1512/iumj.2020.69.8028zbMath1459.35119arXiv1801.09836OpenAlexW2786680315MaRDI QIDQ3387522

Hongjie Dong, Seick Kim, Jihoon Lee

Publication date: 13 January 2021

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.09836

zbMATH Keywords

regularity of solutionsoblique derivative problemconormal derivative problemsecond-order elliptic operatorsDini-type conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (7)

Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data ⋮ Boundary regularity estimates in Hölder spaces with variable exponent ⋮ Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients ⋮ On conormal derivative problem for parabolic equations with Dini mean oscillation coefficients ⋮ Conormal derivative problem for elliptic equations in divergence form with partial Dini mean oscillation coefficients ⋮ Gilbarg-Serrin equation and Lipschitz regularity ⋮ Gradient estimates for singular parabolic \(p\)-Laplace type equations with measure data

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