带p(x)-调和算子的Kirchhoff型方程的多重解

Multiplicity of solutions for Kirchhoff type equation involving the p(x)-biharnonic operator

研究了一类Kirchhoff型p(x)-调和方程。利用临界点理论中的喷泉定理,获得了多重解存在的充分条件,推广和改进了一些已有的结果。

A class of Kirchhoff type equation involving the p( x)-biharnonic operator is ivestigated. By using fountain theorem in critical point theory,some sufficient conditions for the existence of multiplicity of solutions are obtained,which generalize and improve some existing resuls.