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math.AP2014
An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains
Karthik Adimurthi, Nguyen Cong Phuc
A weighted norm inequality involving weights is obtained at the natural exponent for gradients of solutions to quasilinear elliptic equations in Reifenberg flat domains. Cert…
math.AP2014★ 1 cited
Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations
Karthik Adimurthi, Nguyen Cong Phuc
Lorentz and Lorentz-Morrey estimates are obtained for gradients of very weak solutions to quasilinear equations of the form $$\text{div}\,\mathcal{A}(x, \nabla u)=\text{div}\, |{\b…
math.AP2014★ 2 cited
The Navier-Stokes equations in nonendpoint borderline Lorentz spaces
Nguyen Cong Phuc
It is shown both locally and globally that solutions to the three-dimensional Navier-Stokes equations are regular provided . Here $L_x^{3,q}…