3 papers
math.AP2018
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…
math.AP2018
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…
math.AP2012
Singularity and blow-up estimates via Liouville-type theorems for Hardy-Hénon parabolic equations
Quoc Hung Phan
We consider the Hardy-Hénon parabolic equation with and . We establish the space-time singularity and decay estimates, and Liouvi…