17 citations · 56 across the 6 of their papers we have counts for
6 papers
On the Hang-Yang conjecture for GJMS equations on
Ali Hyder, Quôc Anh Ngô
This work concerns a Liouville type result for positive, smooth solution to the following higher-order equation \[ {\mathbf P}^{2m}_n (v) = \frac{n-2m}2 Q_n^{2m} (\varepsilon v…
A Liouville type result for fractional GJMS equations on higher dimensional spheres
Quynh N. T. Lê, Quôc Anh Ngô, Tien-Tai Nguyen
Let be an integer and be a real number such that . Inspired by the perturbation approach initiated by F. Hang and P. Yang (\textit{Int. Math. Res. Not. IMRN}…
Exhaustive existence and non-existence results for Hardy-Hénon equations in
Yoshikazu Giga, Quôc Anh Ngô
This paper concerns solutions to the Hardy-Hénon equation \[ -Δu = |x|^σu^p \] in with and arbitrary . This equation was proposed by Hé…
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…
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…
Sharp constant for Poincaré-type inequalities in the hyperbolic space
Quôc-Anh Ngô, Van Hoang Nguyen
In this note, we establish a Poincaré-type inequality on the hyperbolic space , namely \[ \|u\|_{p} \leqslant C(n,m,p) \|\nabla^m_g u\|_{p} \] for any $u \in W^{m,p}(\…