退化椭圆型方程特征值问题的非平凡广义解

Nontrivial Generalized Solution to Degenerated Elliptic Equation Eigenvalue Problem

当λ充分大时,研究含特征值退化椭圆型方程Dirichlet边值问题的非平凡广义解问题,在一定的条件下证明上述边值问题至少存在一个非平凡广义解。

When λ is sufficiently large, the nontrivial generalized solution to degenerated elliptic equation eigenvalue problem is studied. Under certain conditions, the above boundary value problem at least has one nontrivial generalized solution, which is to be proved.