Morrey space regularity for weak solutions of Stokes systems with VMO coefficients
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Publication:415443
DOI10.1007/s10231-010-0169-7zbMath1238.35096OpenAlexW2046995634MaRDI QIDQ415443
Oldřich John, Josef Daněček, A.I.Kozhanov
Publication date: 8 May 2012
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-010-0169-7
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Symmetries, invariants, etc. in context of PDEs (35B06)
Related Items
Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients ⋮ Higher order fractional differentiability for the stationary Stokes system ⋮ Weighted estimates for generalized steady Stokes systems in nonsmooth domains ⋮ On a generalized Stokes problem ⋮ An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients ⋮ Regularity of weak solutions to obstacle problems for nondiagonal quasilinear degenerate elliptic systems ⋮ Regularity estimates for stationary Stokes problem in some generalized function spaces
Cites Work
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Parabolic and elliptic systems with VMO coefficients
- Boundary regularity for minima of certain quadratic functionals
- A counter-example to the boundary regularity of solutions to elliptic quasilinear systems
- Fine properties of functions with bounded deformation
- Partial regularity up to the boundary for weak solutions of elliptic systems with nonlinearity \(q\) greater than two
- Variational methods for problems from plasticity theory and for generalized Newtonian fluids
- Optimal interior partial regularity for nonlinear elliptic systems: The method of \(A\)-harmonic approximation
- Regularity results for stationary electro-rheological fluids
- Boundary regularity for nonlinear elliptic systems
- Continuity of Solutions of Parabolic and Elliptic Equations
- The existence of regular boundary points for non-linear elliptic systems
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Functions of Vanishing Mean Oscillation
- Oblique derivative problem for quasilinear elliptic equations with VMO coefficients
- Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
- BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS
- Regularity results for the gradient of solutions of linear elliptic systems with VMO-coefficients and L 1,λ data
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