7 citations · 7 across the 2 of their papers we have counts for
3 papers
math.AP2025
A Unified Hölder Lebesgue Framework for Caffarelli Kohn Nirenberg Inequalities
Mengxia Dong
We develop a unified Hölder Lebesgue scale \(X^p\) and its weighted, higher order variants \(X^{k,p,a}\) to extend the Caffarelli Kohn Nirenberg (CKN) inequality beyond the classic…
math.FA2024
Gagliardo-Nirenberg inequality with Hölder norms
Mengxia Dong
The classical Gagliardo-Nirenberg inequality, known as an interpolation inequality, involves Lebesgue norms of functions and their derivatives. We established an interpolation lemm…
math.AP2015★ 7 cited
Best constants and existence of maximizers for weighted Moser-Trudinger inequalities
Mengxia Dong, Guozhen Lu
In this paper, we will establish the best constants for certain classes of weighted Moser-Trudinger inequalities on the entire Euclidean spaces . We will also prove t…