【摘要】 利用Hessian比较定理,研究径向曲率非正的黎曼流形上带有位势的调和映射的常边值问题,及以空间型中的紧致子流形为出发流形或目标流形的带有位势的p-调和映射的稳定性问题,证明了几个Liouville型定理,推广了相关作者的结论.更多还原

【Abstract】 This paper uses Hessian comparison theorem to study the constant boundary-value problems for harmonic maps with potential defined on manifolds with negative radial curvature,and also studies the instability of p-harmonic maps with potential,proves some Liouville theorems,generalizes the results of other articles.更多还原