\( W^{2, p} \)-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values

DOI10.3934/dcdss.2021080zbMath1486.35103OpenAlexW3173230259MaRDI QIDQ2064006

Chunyan Zuo, Junjie Zhang, Shen-Zhou Zheng

Publication date: 3 January 2022

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2021080

zbMATH Keywords

viscosity solutionfully nonlinearoblique boundary condition\( (\delta, R) \)-vanishing conditionasymptotically \(\delta \)-regular

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear elliptic equations (35J60) Viscosity solutions to PDEs (35D40)

Related Items (3)

Weighted Lorentz estimates for fully nonlinear elliptic equations with oblique boundary data ⋮ Sharp Hessian estimates for fully nonlinear elliptic equations under relaxed convexity assumptions, oblique boundary conditions and applications ⋮ Weighted Orlicz regularity for fully nonlinear elliptic equations with oblique derivative at the boundary via asymptotic operators

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