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math.AP2025
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…
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_{\…