A class of fractional p()-Kirchhoff type systems

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

A class of fractional p()-Kirchhoff type systems

Analysis of PDEs 2021-02-18 v3

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

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.

Keywords

weak convergence elliptic partial differential equations fractional calculus

Cite

@article{arxiv.2005.06680,
  title  = {A class of fractional p()-Kirchhoff type systems},
  author = {Yong Wu and Zhenhua Qiao and Mohamed Karim Hamdani and Bingyu Kou and Libo Yang},
  journal= {arXiv preprint arXiv:2005.06680},
  year   = {2021}
}

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