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: |
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Keywords: | Palais-Smale condition; fourth-order; elastic beam equation; Variational methods. |
2010 Mathematics Subject Classification: 34B15, 58E05. |