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arXiv · 2005.06680

A class of fractional p()-Kirchhoff type systems

Yong Wu·Zhenhua Qiao·Mohamed Karim Hamdani·Bingyu Kou·Libo Yang
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Abstract

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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Yong Wu, Zhenhua Qiao, Mohamed Karim Hamdani, Bingyu Kou, Libo Yang. 2020-05-14. A class of fractional p()-Kirchhoff type systems. https://arxiv.org/abs/2005.06680

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