论文标题
Heisenberg Group上完全非线性PDE的一些新的Liouville型结果
Some new Liouville-type results for fully nonlinear PDEs on the Heisenberg group
论文作者
论文摘要
我们通过归化的hadamard三键定理证明了新的（尖锐的）liouville型特性，用于在海森伯格矢量场上构建的完全非线性方程。作为模型示例，我们涵盖了Pucci的极端操作员的情况，该案例受到适当的半线性和梯度术语的扰动，并将其扩展到Heisenberg设定的已知贡献在Euclidean框架中有效。
We prove new (sharp) Liouville-type properties via degenerate Hadamard three-sphere theorems for fully nonlinear equations structured over Heisenberg vector fields. As model examples, we cover the case of Pucci's extremal operators perturbed by suitable semilinear and gradient terms, extending to the Heisenberg setting known contributions valid in the Euclidean framework.
