45 citations · 187 across the 43 of their papers we have counts for
18 papers · 1 filter
A Fourier approach to the sharp stability of Heisenberg Uncertainty Principles of higher and fractional orders: a new perspective
Anh Do, Nguyen Lam, Guozhen Lu +1
We show that, on the Fourier side, the sharp second order Heisenberg Uncertainty Principle (HUP) and its sharp stability for functions are nothing but the first order -Caffa…
The weighted -Caffarelli-Kohn-Nirenberg inequalities for the curl-free vector fields and second order derivatives: The sharp constants and stability estimates
Anh Tuan Duong, Van Hoang Nguyen
In this paper, we study the weighted -Caffarelli-Kohn-Nirenberg inequalities for curl-free vector fields and second order derivatives. Firstly, we prove a family of the sharp…
Caffarelli-Kohn-Nirenberg and Weighted Gaussian Poincaré Inequalities: a complete characterization of sharp stability and extensions
Anh Xuan Do, Nguyen Lam, Guozhen Lu +1
We introduce a new family of weighted Gaussian -Poincaré-type inequalities with explicit sharp constants, optimizers, and corresponding sharp -gradient stability estimate…
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…
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…
Supercritical Moser-Trudinger inequalities and related elliptic problems
Quôc Anh Ngô, Van Hoang Nguyen
Given , we establish the following two supercritical Moser-Trudinger inequalities \[ \sup\limits_{u \in W^{1,n}_{0,{\rm rad}}(B): \int_B |\nabla u|^n dx \leq 1} \int_B \exp\bi…
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^…
Higher order Sobolev trace inequalities on balls revisited
Quôc Anh Ngô, Van Hoang Nguyen, Quoc Hung Phan
Inspired by a recent sharp Sobolev trace inequality of order four on the balls found by Ache and Chang [AC15], we propose a slightly different approach to reprove…
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…
Extremals for the Singular Moser-Trudinger Inequality via n-Harmonic Transplantation
Gyula Csato, Prosenjit Roy, Van Hoang Nguyen
The Moser-Trudinger embedding has been generalized in [Adimurthi A.; Sandeep K., A singular Moser-Trudinger embedding and its applications, \textit{NoDEA Nonlinear Differential Equ…
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 …
On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem
Van Hoang Nguyen, Futoshi Takahashi
In this paper, we establish a weighted Trudinger-Moser type inequality with the full Sobolev norm constraint on the whole Euclidean space. Main tool is the singular Trudinger-Moser…
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…
An improvement for the sharp Adams inequalities in bounded domains and whole space
Van Hoang Nguyen
We prove an improvement for the sharp Adams inequality in where is a bounded domain in inspired by Lions Concentration--Compactness princip…
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…