Partial regularity and nonlinear potential estimates for Stokes systems with super-quadratic growth

Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Partial functional-differential equations (35R10) Other generalizations (nonlinear potential theory, etc.) (31C45)

Cites Work

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A nonlinear Stein theorem
Universal potential estimates
Campanato estimates for the generalized Stokes system
Partial regularity and potentials
Gradient estimates via linear and nonlinear potentials
Gradient potential estimates
Solutions of the divergence operator on John domains
Regularity for a class of nonlinear elliptic systems
The Wiener test and potential estimates for quasilinear elliptic equations
Variational methods for problems from plasticity theory and for generalized Newtonian fluids
Potential estimates for the \(p\)-Laplace system with data in divergence form
Vectorial nonlinear potential theory
Thin sets in nonlinear potential theory
Regularity results for stationary electro-rheological fluids
Gradient potential estimates in elliptic obstacle problems with Orlicz growth
Gradient estimates for singular parabolic \(p\)-Laplace type equations with measure data
Quasiconvexity and partial regularity via nonlinear potentials
Potential estimates for elliptic systems with subquadratic growth
Nonlocal equations with measure data
Riesz potential estimates for a general class of quasilinear equations
Sulla regolarità delle soluzioni deboli di una classe di sistemi ellittici quasi-lineari
Nonlinear potential estimates for generalized Stokes system
Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
Gradient estimates via non standard potentials and continuity
Gradient estimates via non-linear potentials
A decomposition technique for John domains
On partial regularity results for the navier-stokes equations
Regularity of differential forms minimizing degenerate elliptic functionals.
Lipschitz Bounds and Nonuniform Ellipticity
Wolff type potential estimates for stationary Stokes systems with Dini-BMO coefficients
Potential estimates for elliptic measure data problems with irregular obstacles
Higher differentiability for solutions of stationary p‐Stokes systems
A comparison estimate for singular \(p\)-Laplace equations and its consequences

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