A Class of Fourth-Order Symmetrical Kirchhoff Type Systems
Yong Wu,
Said Taarabti,
Zakaria El Allali,
Khalil Ben Hadddouch,
Jiabin Zuo
Affiliations
Yong Wu
School of Tourism Data, Guilin Tourism University, Guilin 541006, China
Said Taarabti
Information Systems and Technology Engineering Laboratory (LISTI), National School of Applied Sciences of Agadir, Ibn Zohr University, Agadir 80000, Morocco
Zakaria El Allali
Team of Modeling and Scientific Computing Department of Mathematics, Multidisciplinary Faculty, Nador Mohammed First University, Oujda 6000, Morocco
Khalil Ben Hadddouch
National School of Applied Sciences of Fez, Sidi Mohamed Ben Abdellah University, Fez BP 2626, Morocco
Jiabin Zuo
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
This paper deals with the existence and multiplicity of solutions for a perturbed nonlocal fourth-order class of p(·)&q(·)-Kirchhoff elliptic systems under Navier boundary conditions. By using the variational method and Ricceri’s critical point theorem, we can find a proper conditions to ensure that the perturbed fourth-order of (p(x),q(x))-Kirchhoff systems has at least three weak solutions. We have extended and improved some recent results. The complexity of the combination of variable exponent theory and fourth-order Kirchhoff systems makes the results of this work novel and new contribution. Finally, a very concrete example is given to illustrate the applications of our results.
