关键词: 基尔霍夫方程, 分数阶微分方程;p(x)-拉普拉斯算子, 超线性, 临界点

Abstract:

Dirichlet boundary value problem for Kirchhoff equation with fractional p(x)-Laplacian operator is studied. When the nonlinear term is growing superlinearly, some sufficient conditions for the existence of infinitely many high energy solutions are obtained by using the fountain theorem in critical point theory.

Key words: Kirchhoff equation, fractional differential equation, p(x)-Laplacian operator, superlinear, critical point