2 papers
math.FA2026
Some Reverse Hardy-Littlewood-Sobolev Type Inequalities
Qianqiao Guo, Zhe Pu, Jiankang Xia
We establish some sharp reverse Hardy-Littlewood-Sobolev (HLS) type inequalities on \(\mathbb{R}^n\) and \(\mathbb{R}_+^n\). Using an operator representation, we overcome the diffi…
math.AP2026
Normalized groundstates for mixed -Laplacian equations in with exponential critical growth
Jiankang Xia, Chao Zhong
We investigate normalized groundstates for mixed -Laplacian equations \begin{align*} \begin{cases} -Î_p u-Îu+λu=f(u) & \text{in } \mathbb{R}^2, \displaystyle \int_{\mathb…