1 citations · 2 across the 6 of their papers we have counts for
11 papers
Green kernel and Martin kernel of Schrödinger operators with singular potential and application to the B.V.P. for linear elliptic equations
Konstantinos T. Gkikas, Phuoc-Tai Nguyen
Let () be a bounded domain and be a compact, submanifold in without boundary, of dimension with $0\le…
Boundary value problems in Euclidean space for Bosonic Laplacians
Chao Ding, Phuoc-Tai Nguyen, John Ryan
A bosonic Laplacian is a conformally invariant second order differential operator acting on smooth functions defined on domains in Euclidean space and taking values in higher order…
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
D. Mukherjee, P. T. Nam, P. T. Nguyen
We consider the focusing nonlinear Schrödinger equation with the critical inverse square potential. We give the first proof of the uniqueness of the ground state solution. Conseque…
Semilinear elliptic equations with Hardy potential and gradient nonlinearity
Konstantinos Gkikas, Phuoc-Tai Nguyen
Let () be a bounded domain and be the distance to . We study positive solutions of equation (E) …
Energy equalities for compressible Navier-Stokes equations
Quoc-Hung Nguyen, Phuoc-Tai Nguyen, Quoc Bao Tang
The energy equalities of compressible Navier-Stokes equations with general pressure law and degenerate viscosities are studied. By using a unified approach, we give sufficient cond…
On the existence and multiplicity of solutions to fractional Lane-Emden elliptic systems involving measures
Mousomi Bhakta, Phuoc-Tai Nguyen
We study positive solutions to the fractional Lane-Emden system \begin{equation*} \tag{S}\label{S} \left\{ \begin{aligned} (-Δ)^s u &= v^p+μ\quad &&\text{in } Ω\\ (-Δ)^s v &= u^q+ν…