一类半线性椭圆问题非平凡解的存在性

Existence of the nontrivial solution for a class of semilinear elliptic problem

在超线性条件下,讨论一类具有Dirichlet边界条件的半线性椭圆问题。通过局部环绕定理和一个变化的山路引理,证明该方程非平凡解的存在性。

Under the superlinear condition , a class of semilinear elliptic problem with the Dirichlet boundary value is discussed in this paper .By the local linking theorem and a variant version mountain pass lemma, the existence of the nontrivial solution is proved .