Gradient estimates for elliptic systems in non-smooth domains

57 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Global weighted estimates for the gradient of solutions to nonlinear elliptic equations (2013, methodology): “We will use Harmonic Analysis free approach to nonlinear Calderón–Zygmund estimates which was first introduced in [2,22], developed [3,4] and later adapted to nonsmooth domains for boundary regularity results as well as in the setting of Orlicz spaces, see [5,7,10,31].”
On the extension property of Reifenberg-flat domains (2012, unknown): “problems, like the minimization of the Mumford-Shah functional (see [22, 23]). Elliptic and parabolic equations deﬁned in Reifenberg-ﬂat domains have been recently investigated by Byun, Wang and Zhou [2, 3, 4], by Lemenant, Milakis and Spinolo and by Milakis and Toro [24, 25, 26, 27]. Finally, we me”
Lp solvability of divergence type parabolic and elliptic systems with partially BMO coefficients (2011, result): “Note that results of this type were obtained recently in [3] for scalar equations, and in [4] for elliptic systems without lower order terms.”
Global Calderón–Zygmund theory for nonlinear parabolic systems (2013, background): “Up to now the only available global result is due to Byun and Wang [11] and deals with the case P = 2 and homogeneous.”
Elliptic equations with measurable coefficients in Reifenberg domains (2010, background): “seems to be complicated and technical if one wants to apply the approach in [1,6] to the present situation.”