Oblique derivative problem for quasilinear elliptic equations with VMO coefficients

DOI10.1017/S0004972700017275zbMath0879.35056MaRDI QIDQ4350832

Dian K. Palagachev, Giuseppe Di Fazio

Publication date: 29 January 1998

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

uniquenessstrong solvability

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear boundary value problems for linear elliptic equations (35J65) A priori estimates in context of PDEs (35B45) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items (12)

Anisotropic fractional maximal commutators with BMO functions on anisotropic Morrey-type spaces ⋮ Hessian estimates in weighted Lebesgue spaces for fully nonlinear elliptic equations ⋮ Elliptic equations with discontinuous coefficients in generalized Morrey spaces ⋮ Elliptic Venttsel problems with \(VMO\) coefficients ⋮ Morrey space regularity for weak solutions of Stokes systems with VMO coefficients ⋮ Classical solutions of oblique derivative problem in nonsmooth domains with mean Dini coefficients ⋮ Applications of the differential calculus to nonlinear elliptic operators with discontinuous coefficients ⋮ \(L^p\)-estimates for the Hessians of solutions to fully nonlinear parabolic equations with oblique boundary conditions ⋮ \(W^{2,p}\)-estimates for fully nonlinear elliptic equations with oblique boundary conditions ⋮ Venttsel Boundary Value Problems with Discontinuous Data ⋮ Global Morrey regularity of strong solutions to the Dirichlet problem for elliptic equations with discontinuous coefficients ⋮ Quasilinear parabolic operators with discontinuous ingredients

Cites Work

• Solvability of quasilinear elliptic equations with nonlinear boundary conditions. II
• An Aleksandrov-Bakelman type maximum principle and applications
• Sulle equazioni ellittiche del secondo ordine di tipo non variazionale a coefficienti discontinui
• On functions of bounded mean oscillation
• Nonlinear Oblique Boundary Value Problems for Nonlinear Elliptic Equations
• Linear second order elliptic equations with Venttsel boundary conditions
• W 2,p -Solvability of the Dirichlet Problem for Nondivergence Elliptic Equations with VMO Coefficients
• Functions of Vanishing Mean Oscillation
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