2 citations · 3 across the 5 of their papers we have counts for
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Uniqueness of entire solutions to quasilinear equations of p-Laplace type
Nguyen Cong Phuc, Igor E. Verbitsky
We prove the uniqueness property for a class of entire solutions to the equation \begin{equation*} \left\{ \begin{array}{ll} -{\rm div}\, \mathcal{A}(x,\nabla u) = σ, \quad u\geq 0…
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…
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…
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}…
Boundary behavior p-harmonic functions in the Heisenberg group
Nicola Garofalo, Nguyen Cong Phuc
We study the boundary behavior of nonnegative p-harmonic functions which vanish on a portion of the boundary of a domain in the Heisenberg group H^n. Our main results are: 1) An es…