带 p（x）-双调和算子的四阶椭圆型问题的多解性

摘要

利用极值原理结合山路定理研究了一类带Navier边值条件的四阶椭圆型问题至少存在两个非负、非平凡的弱解。%Using the minimum principle combined with the mountain pass theorem, wo obtain at least two non-negative,non-trivial weak solutions to a fourth order elliptic problem with a p( x)-biharmonic operator and the Navier boundary conditions.