在這篇論文,我們使用橢圓算子的方法在子橢圓算子上面.當然, 在這兩個算子上面仍有些許的不同.這裡主要做了兩件事, 一個是在緊緻集上的L^{p}估計, 另一個是使用Perron的方法來證明解的存在性. 我們所使用的方法基本上都與橢圓算子想仿, 但是證明細節仍有些許差異. In this thesis, we consider the subelliptic operator by using the method on elliptic case. There are still difference between two cases. Here we do the two things. One is the L^{p} estimate on the compact domain, the other is the solution of existence by Perron's method. The method we used is still the same, but the proof is a little different with the elliptic operator.
