论文标题
一类分数P() - Kirchhoff类型系统
A class of fractional p()-Kirchhoff type systems
论文作者
论文摘要
本文关注的是,由可变订单分数$ p(x)$ - 运算符驱动的基尔chhoff类型的椭圆系统。借助直接变分方法和Ekeland变异原理,我们显示了弱解决方案的存在。对于可变级数分数变量指数,这是我们研究这种系统的第一次尝试。我们的主要定理沿多个方向扩展了先前的结果。
This paper is concerned with an elliptic system of Kirchhoff type, driven by the variable-order fractional $p(x)$-operator. With the help of the direct variational method and Ekeland variational principle, we show the existence of a weak solution. This is our first attempt to study this kind of system, in the case of variable-order fractional variable exponents. Our main theorem extends in several directions previous results.