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

Wu, Yong, Qiao, Zhenhua, Hamdani, Mohamed Karim, Kou, Bingyu, Yang, Libo

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.

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