Qi Xia

collaborators

2 papers

math.AP2026

The compactness of Moser-Trudinger type inequalities in the unit ball

Qi Xia, Yufeng Lu

In this paper, we employ the concentration-compactness principle to show that if the Dirichlet norm is replaced by the standard Sobolev norm, then the supremum of $$ \int_{\mathbb{…

math.AP2026

The compactness of Moser-Trudinger functionals with conical metric in the unit ball

Qi Xia, Yufeng Lu

Let $B$ be the unit ball in $R^{2}$ , $W_{0}^{1, 2} (B)$ is a standard Sobolev space. Suppose a function $h_{ε} (x)$ is radially symmetric, nonnegati…