论文标题

liouville定理在海森伯格集团上针对班级半线性椭圆形问题

Liouville theorem for a class semilinear elliptic problem on Heisenberg group

论文作者

Ma, Xi-nan, Ou, Qianzhong

论文摘要

我们获得了Heisenberg Group上经典的半线性亚临界椭圆方程的整个Liouville型定理。还证明了孤立的奇异性附近的次数估计值。证明的灵魂是先验的积分估计,它是根据杰里森和李的广义公式推论出来的。

We obtain an entire Liouville type theorem to the classical semilinear subcritical elliptic equation on Heisenberg group. A pointwise estimate near the isolated singularity was also proved. The soul of the proofs is an a priori integral estimate, which deduced from a generalized formula of that found by Jerison and Lee.

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