假设 和 是二维平面上通过以上方程，仍然难以求得调和映射的具体表达形式

假设 和 是二维平面上通过以上方程，仍然难以求得调和映射的具体表达形式。为了得到调和映射的解析形式，对其进行处理得到：同胚圆盘的区域， 、 。 表示 和 之间的一个映射，满足：

結果 (英文) 1:

Assumptions, and is erweiping by the above equation is still difficult to find concrete expression of harmonic maps. In order to get the analytic form of harmonic maps, to get it: homeomorphism disc region,. Represents a mapping between and to meet:

結果 (英文) 2:

Assuming the above equation and is still difficult to obtain specific forms of expression on the two-dimensional harmonic maps. In order to obtain the analytical form of harmonic maps, it is processed to obtain: Regional homeomorphic disc,. A mapping between representation and satisfy:

結果 (英文) 3:

Assumptions and is two-dimensional plane through the above equations, it is still difficult to obtain the harmonic mapping specific forms of expression. In order to obtain the analytical form of harmonic maps, carries on the treatment to obtain: homeomorphism disc area,,. A mapping between representation and, meet: