退化半线性椭圆型方程的Dirichlet问题

The Dirichlet Problem for a Degenerate Semilinear Elliptic Equation

该文利用改进构造闸函数方法和Perron方法 ,证明了退化线性和半线性椭圆型方程的Dirichlet问题解的存在性。最后给出的 2个推论是该文结果的应用。

Under suitable hypothesis we obtain the theorems concerning the existence of the solution of a degenerate and semilinear elliptic equation. The method of barrier function and Perron's are used method to prove the main theorem 1.Finally, two corollaries are given to illustrate the application of our theorem.