output
20042026
most citedA conductive topological insulator with colossal spin Hall effect for ultra-low power spin-orbit-torque switching

498 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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7 papers · 1 filter

math.AP2020★ 15 cited

Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with nonlinear response

Alex H. Ardila, Van Duong Dinh, Luigi Forcella

We study the asymptotic dynamics for solutions to a system of nonlinear Schrödinger equations with cubic interactions, arising in nonlinear optics. We provide sharp threshold crite…

math.AP2020

Random data theory for the cubic fourth-order nonlinear Schrödinger equation

Van Duong Dinh

We consider the cubic nonlinear fourth-order Schrödinger equation \[ i\partial_t u - Δ^2 u + μΔu = \pm |u|^2 u, \quad μ\geq 0 \] on with random initial dat…

math.AP2020★ 2 cited

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 + \…

math.AP2020★ 4 cited

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…

math.AP2019★ 3 cited

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…

math.AP2019★ 1 cited

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…

math.AP2014★ 5 cited

Existence, uniqueness and qualitative properties of positive solutions of quasilinear elliptic equations

Phuoc-Tai Nguyen, Hoang-Hung Vo

We study the following quasilinear elliptic equation where , $Φ\in L^\in…