11 citations · 26 across the 13 of their papers we have counts for
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Universal potential estimates for
Quoc-Hung Nguyen, Nguyen Cong Phuc
We extend the so-called universal potential estimates of the Kuusi-Mingione type (J.Funct. Anal. 2012) to the singular case for the quasilinear equation with measur…
A comparison estimate for singular -Laplace equations and its consequences
Quoc-Hung Nguyen, Nguyen Cong Phuc
Comparison estimates are an important technical device in the study of regularity problems for quasilinear possibly degenerate elliptic and parabolic equations. Such tools have bee…
BMO solutions to quasilinear equations of -Laplace type
Nguyen Cong Phuc, Igor E. Verbitsky
We give necessary and sufficient conditions for the existence of a BMO solution to the quasilinear equation in , , where is a locally finit…
Characterizations of predual spaces to a class of Sobolev multiplier type spaces
Keng Hao Ooi, Nguyen Cong Phuc
We characterize preduals and Köthe duals to a class of Sobolev multiplier type spaces. Our results fit in well with the modern theory of function spaces of harmonic analysis and ar…
Existence and regularity estimates for quasilinear equations with measure data: the case
Quoc-Hung Nguyen, Nguyen Cong Phuc
We obtain existence and global regularity estimates for gradients of solutions to quasilinear elliptic equations with measure data whose prototypes are of the form $-{\rm div} (|\n…
Quasilinear Riccati type equations with oscillatory and singular data
Quoc-Hung Nguyen, Nguyen Cong Phuc
We characterize the existence of solutions to the quasilinear Riccati type equation \begin{eqnarray*} \left\{ \begin{array}{rcl} -{\rm div}\,\mathcal{A}(x, \nabla u)&=& |\nabla u|^…