离散Kirchhoff型方程非平凡解的存在性Existence of Nontrivial Solutions for a Discrete Kirchhoff Type Equation
王庆云
摘要(Abstract)：
针对离散Kirchhoff型方程解的存在性问题,本文首先将其转化为矩阵形式,同时给出了相应的能量泛函,进而利用变分方法,将该问题的解转化为能量泛函的临界点.当非线性项满足超线性条件时,根据临界点理论中山路引理,证明了该问题至少存在一个非平凡解。
关键词(KeyWords)： Kirchhoff型方程:变分方法:山路引理
基金项目(Foundation): 山西省自然科学基金(201311004-3)
作者(Author): 王庆云
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