J. Nonl. Evol. Equ. Appl. 2022 (3), pp. 59-67, published on July 18, 2022:

Multiple Solutions For Nonlinear Fourth-Order Elastic Beam Equations

A. Ghobadi, S. Heidarkhani

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

Received on February 5, 2022, revised version on April 9, 2022
Accepted on April 9, 2022

Communicated by Martin Bohner

Abstract.  In this paper, using variational methods and critical point theory, we establish the existence of multiple generalized solutions for the fourth-order nonlinear differential problem:
Some recent results are extended and improved.
Keywords:Palais-Smale condition; fourth-order; elastic beam equation; Variational methods.
2010 Mathematics Subject Classification:   34B15, 58E05.

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