二阶奇异椭圆方程的Dirichlet问题

Dirichlet problems on some classes of second order singular elliptic equations

对二阶奇异椭圆方程-Δu+1uα-λup=0的Dirichlet问题(λ>0,0<p<1)证明了当α≥1时无解存在,当0<α<1时存在极小解;并对较一般的奇异方程给出了一个存在性结果.

To the Dirichlet problem of second order singular elliptic equation -Δu+1u~α-λu^p=0(λ>0,0<p<1),we prove that there is no solution if α≥1 and there exist a minimal solution if 0<α<1.We also give an existence result to more general singular elliptic equations.