5 citations · 17 across the 16 of their papers we have counts for
28 papers
Liouville type theorems for fractional elliptic problems
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we establish Liouville type theorems for stable solutions on the whole space to the fractional elliptic equation where the nonlinearit…
The sharp Sobolev type inequalities in the Lorentz--Sobolev spaces in the hyperbolic spaces
Van Hoang Nguyen
Let , denote the Lorentz-Sobolev spaces of order one in the hyperbolic spaces . Our aim in this paper is three-fold. Firs…
The sharp Adams type inequalities in the hyperbolic spaces under the Lorentz-Sobolev norms
Van Hoang Nguyen
Let and , we denote by the Lorentz-Sobolev space of order in the hyperbolic space . In this paper,…
The sharp higher order Lorentz--Poincaré and Lorentz--Sobolev inequalities in the hyperbolic spaces
Van Hoang Nguyen
In this paper, we study the sharp Poincaré inequality and the Sobolev inequalities in the higher order Lorentz--Sobolev spaces in the hyperbolic spaces. These results generalize th…
A Liouville type theorem for fractional elliptic equation with exponential nonlinearity
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we are concerned with stable solutions to the fractional elliptic equation $$ (-Δ)^s u=e^u\mbox{ in }\mathbb R^{N}, $$ where is the fractional Laplacian wit…
The sharp Hardy--Moser--Trudinger inequality in dimension
Van Hoang Nguyen
In this paper, we prove a Hardy--Moser--Trudinger inequality in the unit ball in which improves both the classical singular Moser--Trudinger inequality…