一类具有狄利克雷边界条件的多调和方程广义解的存在性

Existence of nontrivial generalized solutions for a class of polyharmonic equation with Dirichlet boundary conditions

通过利用(B+)类拓扑度的方法和在希尔伯特空间上选择相应的范数,给出了具有狄利克雷边界条件的多调和方程非平凡广义解的存在性结果.

We give existence result for nontrivial solutions of polyharmonic equation using topological degree method of class（B_＋）and selecting appropriate norm on the Hilbert space.