一类退化椭圆系统近共振问题的多解性

Multiplicity results of a degenerate elliptic systems near resonance problems

根据退化椭圆第一特征值的性质,利用临界点理论中的Ekeland变分原理和山路引理,证明了一类退化椭圆系统在第一特征值附近三个解的存在性,所得结论推广和丰富了已有文献的一些结果。

Based on the degenerate elliptic system and by using Ekeland variational principle and Mountain pass theorem in critical point theory,we obtain three solutions for a class of degenerate elliptic systems near resonance at the first eigenvalues. The research findings have enriched and introduced some results of the existing literature.