含奇异项的平均曲率型方程的狄氏问题

Dirichlet Problem for Mean Curvature Type Equation with Singular Term

考虑一类含非线性奇异项和正参数 ε的平均曲率型方程的 Dirichlet问题 .证明了当 ε充分小时上述问题至少存在一个古典解 ;而当

We consider Dirichlet problem for mean curvature type equation with singular ter m and positive parameter \$ε\$ and prove that the above problem has at least a classical solution for \$ε\$ small enough and has no calssical solution for \$ ε\$ large enough.