Electronic Journal of Differential Equations, Vol. 2022 (2022), No. 24, pp. 1-16.

Title: Multiple solutions for p(x)-Kirchhoff type problems with Robin boundary conditions
       
Authors: Ghasem A. Afrouzi (Univ.of Mazandaran, Babolsar, Iran)
         Nguyen T. Chung (Quang Binh Univ., Vietnam)
         Zohreh Naghizadeh (Univ. of Science and Tech. Mazandaran, Behshahr, Iran)

Abstract: 
This article considers p(x)-Kirchhoff type problems with Robin
boundary conditions. Using the mountain pass theorem, the Ekeland's variational
principle, and Krasnoselskii's genus theory, we prove that the problem has at least
two nontrivial weak solutions or infinitely many nontrivial weak solutions under
some suitable conditions on the nonlinearities. The main results
improve and generalize the previous ones introduced in [2,7].


Submitted May 11, 2021. Published March 25, 2022.
Math Subject Classifications: 35J70, 35J60, 35D05.
Key Words: p(x)-Kirchhoff type problems; Robin boundary conditions; variational methods.