四元Heisenberg群上的一个半线性问题(英文)

A SIMI-LINEAR PROBLEM ON THE QUATERNIONIC HEISENBERG GROUP

本文研究了四元Heisenberg群上的一个半线性方程问题,通过把对应的方程问题化为积分进行估计,证明了其对应的半线性方程的非负双椭圆解只有唯一的零解,推广了相应Heisenberg群上的定理.

In this paper, we study a semi-linear problem on the quaternionic Heisenberg group. By estimating the integration of the corresponding semi-linear equation, we prove the only non-negative bi-cylindrical solution is zero, which generalizes the corresponding theorem in H eisenberg group.