4 papers · 1 filter
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}…
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…