4 citations · 16 across the 24 of their papers we have counts for
5 papers · 1 filter
An application of global gradient estimates in Lorentz-Morrey spaces: The existence of stationary solution to degenerate diffusive Hamilton-Jacobi equations
Minh-Phuong Tran, Thanh-Nhan Nguyen
In historical mathematics and physics, the Kardar-Parisi-Zhang equation or a quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interfac…
Global gradient estimates for very singular quasilinear elliptic equations with measure data
Minh-Phuong Tran, Thanh-Nhan Nguyen
This paper continues the development of regularity results for quasilinear measure data problems \begin{align*} \begin{cases} -\mathrm{div}(A(x,\nabla u)) &= μ\quad \text{in} \ \ Ω…
Gradient estimates via Riesz potentials and fractional maximal operators for quasilinear elliptic equations with applications
Minh-Phuong Tran, Thanh-Nhan Nguyen
In this paper, the aim of our work is to establish global weighted gradient estimates via fractional maximal functions and the point-wise regularity estimates of Dirichlet problem…
New gradient estimates for solutions to quasilinear divergence form elliptic equations with general Dirichlet boundary data
Minh-Phuong Tran, T. -N. Nguyen
This paper studies a new gradient regularity in Lorentz spaces for solutions to a class of quasilinear divergence form elliptic equations with nonhomogeneous Dirichlet boundary con…
An endpoint case of the renormalization property for therelativistic Vlasov-Maxwell system
Minh-Phuong Tran, Thanh-Nhan Nguyen
Recently C. Bardos et al. presented in their fine paper \cite{Bardos} a proof of an Onsager type conjecture on renormalization property and the entropy conservation laws for the re…