中文摘要：

主要是利用分歧理论，证明了在二维空间里，某一类Dirichlet共振问题在取第一特征值时，具有无穷多个解．解曲线与特征线λ=λ1无穷次相交．

英文摘要：

The existence of infinitely many solutions at the first eigenvalue for a class of Dirichlet problems at a resonance is proved in two dimension by bifurcation theory. And the curve of solution intersects the eigenvalue line λ=λ1 infinitely many times.