45 citations · 120 across the 9 of their papers we have counts for
10 papers
An optimal Hardy-Littlewood-Sobolev inequality on and its consequences
Quôc Anh Ngô, Quoc-Hung Nguyen, Van Hoang Nguyen
For , , and , we establish the following optimal Hardy-Littlewood-Sobolev inequality \[ \Big| \iint_{\mathbf R^n \times \mathbf R^{n-k}} \frac{f(x) g(y)}…
Existence and non-existence results for the higher order Hardy-Hénon equation revisited
Quôc Anh Ngô, Dong Ye
This paper is devoted to studies of non-negative, non-trivial (classical, punctured, or distributional) solutions to the higher order Hardy-Hénon equations \[ (-Δ)^m u = |x|^σu^p \…
A supercritical Sobolev type inequality in higher order Sobolev spaces and related higher order elliptic problems
Quôc Anh Ngô, Van Hoang Nguyen
A Sobolev type embedding for radially symmetric functions on the unit ball in , , into the variable exponent Lebesgue space , $2^…
A complete description of the asymptotic behavior at infinity of positive radial solutions to in
Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan
We consider the biharmonic equation in with . It was proved that this equation has a positive classical solution if, and only if, either…
Exhaustive existence and non-existence results for some prototype polyharmonic equations in the whole space
Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan +1
In this paper, we are interested in entire, non-trivial, non-negative solutions and/or entire, positive solutions to the simplest models of polyharmonic equations with power-type n…
A pointwise inequality for a biharmonic equation with negative exponent and related problems
Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan
Inspired by a recent pointwise differential inequality for positive bounded solutions of the fourth-order Hénon equation in with …
An improved Moser-Trudinger inequality involving the first non-zero Neumann eigenvalue with mean value zero in
Quôc-Anh Ngô, Van Hoang Nguyen
Let be a smooth bounded domain in and the first non-zero Neumann eigenvalue of the operator on . In this paper, for any $γ\in [0, λ^{\…
Sharp Adams-Moser-Trudinger type inequalities in the hyperbolic space
Quôc-Anh Ngô, Van Hoang Nguyen
The purpose of this paper is to establish some Adams-Moser-Trudinger inequalities, which are the borderline cases of the Sobolev embedding, in the hyperbolic space . F…
Sharp reversed Hardy--Littlewood--Sobolev inequality on the half space
Quôc-Anh Ngô, Van Hoang Nguyen
This is the second in our series of papers concerning some reversed Hardy--Littlewood--Sobolev inequalities. In the present work, we establish the following sharp reversed Hardy--L…
Sharp reversed Hardy-Littlewood-Sobolev inequality on
Quôc-Anh Ngô, Van Hoang Nguyen
This is the first in our series of papers concerning some Hardy-Littlewood-Sobolev type inequalities. In the present paper, the main objective is to establish the following sharp r…