3 citations · 3 across the 6 of their papers we have counts for
14 papers
Lorentz gradient estimates for a class of elliptic p-Laplacian equations with a Schrödinger term
Minh-Phuong Tran, Thanh-Nhan Nguyen, Gia-Bao Nguyen
We prove in this paper the global Lorentz estimate in term of fractional-maximal function for gradient of weak solutions to a class of p-Laplace elliptic equations containing a non…
A global fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data
Minh-Phuong Tran, Thanh-Nhan Nguyen
We prove a global fractional differentiability result via the fractional Caccioppoli-type estimate for solutions to nonlinear elliptic problems with measure data. This work is in f…
Weighted distribution approach to gradient estimates for quasilinear elliptic double-obstacle problems in Orlicz spaces
Thanh-Nhan Nguyen, Minh-Phuong Tran
We construct an efficient approach to deal with the global regularity estimates for a class of elliptic double-obstacle problems in Lorentz and Orlicz spaces. The motivation of thi…
Lorentz estimates for quasi-linear elliptic double obstacle problems involving a Schrödinger term
Thanh-Nhan Nguyen, Minh-Phuong Tran
Our goal in this article is to study the global Lorentz estimates for gradient of weak solutions to -Laplace double obstacle problems involving the Schrödinger term: $-Δ_p u + \…
Level-set inequalities on fractional maximal distribution functions and applications to regularity theory
Thanh-Nhan Nguyen, Minh-Phuong Tran
The aim of this paper is to establish an abstract theory based on the so-called fractional-maximal distribution functions (FMDs). From the rough ideas introduced in~\cite{AM2007},…
Lorentz improving estimates for the -Laplace equations with mixed data
Thanh-Nhan Nguyen, Minh-Phuong Tran
The aim of this paper is to develop the regularity theory for a weak solution to a class of quasilinear nonhomogeneous elliptic equations, whose prototype is the following mixed Di…