J. Nonl. Evol. Equ. Appl. 2022 (5), pp. 89-103, published on August 12, 2022:

A variational approach for solving nonlocal elliptic problems driven by a p(x)-biharmonic operator


Mohammad Abolghasemi and Shahin Moradi

Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran

Received on June 8, 2022
Accepted on June 20, 2022

Communicated by Martin Bohner

Abstract.   This paper analyses nonlocal elliptic problems driven by a p(x)-biharmonic operator. The proof of the result is made by variational methods. One example is presented to demonstrate the application of our main results.
Keywords: Nonlocal elliptic system, p(x)-biharmonic operator, variational methods.
2010 Mathematics Subject Classification:   35J60, 47J30, 58E05.

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