The existence-uniqueness of infinite harmonic functions in the viscosity sense and the relationship between absolute minimizers and infinite harmonic functions are discussed.
借助于Engel群上的基向量场给出了Engel群上光滑函数的泰勒展开式和群上乘法,并将粘性解定义和绝对最小者定义扩充到Engel群上,讨论了在粘性解意义下无限调和函数的存在惟一性,无限调和函数与绝对最小者的关系,得到了绝对最小者的惟一性。