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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_{\…
math.AP2025
Nondegeneracy of positive solutions for critical Hartree equation on Heisenberg group and it's applications
Minbo Yang, Shuijin Zhang
We study the uniqueness and nondegeneracy of positive bubble solutions for the generalized energy-critical Hartree equation on the Heisenberg group , \begin{equatio…