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Variational approach for an elastic beam equation with local nonlinearities

Volume 130 / 2023

Ahmad Ghobadi, Shapour Heidarkhani Annales Polonici Mathematici 130 (2023), 201-222 MSC: Primary 34B15; Secondary 49J35. DOI: 10.4064/ap220519-20-10 Published online: 11 January 2023

Abstract

We discuss the existence of at least one, two and three weak solutions for a class of elastic beam differential equations with two parameters $\lambda $ and $\mu $, using variational methods and critical point theory.

Authors

  • Ahmad GhobadiDepartment of Mathematics
    Faculty of Sciences
    Razi University
    67149 Kermanshah, Iran
    e-mail
  • Shapour HeidarkhaniDepartment of Mathematics
    Faculty of Sciences
    Razi University
    67149 Kermanshah, Iran
    e-mail

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