P. Nguyen

activity

20132023

most citedEnergy equalities for compressible Navier-Stokes equations

36 citations · 83 across the 26 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.AP2022★ 1 cited

A large class of nonlocal elliptic equations with singular nonlinearities

Rakesh Arora, Phuoc-Tai Nguyen, Vicentiu D. Radulescu

In this work, we address the questions of existence, uniqueness, and boundary behavior of the positive weak-dual solution of equation $L_{γ}^{s} u = F (u)$ , posed in…

math.AP2022★ 3 cited

Semilinear elliptic equations involving power nonlinearities and hardy potentials with boundary singularities

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $Σ \subset \partial Ω$ be a $C^{2}$ compact submanifold without boundary, of dimension $k$ , $0 \leq k \leq N - 1$ . We…

math.AP2022★ 5 cited

Compactness of Green operators with applications to semilinear nonlocal elliptic equations

Phuoc-Truong Huynh, Phuoc-Tai Nguyen

In this paper, we consider a class of integro-differential operators $L$ posed on a $C^{2}$ bounded domain $Ω \subset R^{N}$ with appropriate homogeneous Dirichlet con…

math.AP2022★ 3 cited

Semilinear elliptic Schrödinger equations with singular potentials and absorption terms

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N \geq 3$ ) be a $C^{2}$ bounded domain and $Σ \subset Ω$ be a compact, $C^{2}$ submanifold without boundary, of dimension $k$ with $0 \leq k < N - 2$ . Put $L_…

math.AP2022

Semilinear elliptic Schrödinger equations involving singular potentials and source terms

Konstantinos T. Gkikas, Phuoc-Tai Nguyen

Let $Ω \subset R^{N}$ ( $N > 2$ ) be a $C^{2}$ bounded domain and $Σ \subset Ω$ be a compact, $C^{2}$ submanifold without boundary, of dimension $k$ with $0 \leq k < N - 2$ . Put $L_μ= Δ+…