2 citations · 3 across the 7 of their papers we have counts for
10 papers
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…
Leray's self-similar solutions to the Navier--Stokes equations with profiles in Marcinkiewicz and Morrey spaces
Cristi Guevara, Nguyen Cong Phuc
We rule out the existence of Leray's backward self-similar solutions to the Navier--Stokes equations with profiles in or in the Marcinkiewicz space $L^{q,\infty}(\…
Characterizations of signed measures in the dual of and related isometric isomorphisms
Nguyen Cong Phuc, Monica Torres
We characterize all (signed) measures in , where is defined as the space of all functions in $L^{\frac{n}…
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}…
Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations
Nguyen Cong Phuc
A weighted norm inequality of Muckenhoupt-Wheeden type is obtained for gradients of solutions to a class of quasilinear equations with measure data on Reifenberg flat domains. This…
Quasilinear equations with source terms on Carnot groups
Nguyen Cong Phuc, Igor E. Verbitsky
In this paper we give necessary and sufficient conditions for the existence of solutions to quasilinear equations of Lane--Emden type with measure data on a Carnot group $\mathbb G…
Stationary Navier-Stokes Equations with Critically Singular External Forces: Existence and Stability Results
Tuoc Van Phan, Nguyen Cong Phuc
We show the unique existence of solutions to stationary Navier-Stokes equations with small singular external forces belonging to a critical space. To the best of our knowledge, thi…
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…