3 papers
math.AP2026
Symmetry and uniqueness of the positive solution for the critical Hartree equation on the Heisenberg group
Shuijin Zhang, Jialin Wang, Yu Zheng +2
We apply the moving plane method in integral forms to classify the positive solutions of the critical Hartree equation on Heisenberg group \begin{equation}\label{0.1} -Δ_{\mathbb{H…
cs.CL2025
Qwen3Guard Technical Report
Haiquan Zhao, Chenhan Yuan, Fei Huang +40
As large language models (LLMs) become more capable and widely used, ensuring the safety of their outputs is increasingly critical. Existing guardrail models, though useful in stat…
math.AP2025
Quantitative stability of critical points for the nonlocal-Sobolev inequality in Heisenberg group
Shuijin Zhang, Jijie Xu, Jialin Wang
We investigate the quantitative stability of the nonlocal Sobolev inequality in Heisenberg group \begin{equation*}\label{non-Sobolev} C_{HL}(Q,μ) \left(\int_{\mathbb{H}^{n}}\int_{\…