Existence of three weak solutions for fourth-order elastic beam equations on the whole space

M. R. H. Tavani

doi:10.37863/umzh.v72i12.881

M. R. H. Tavani Ramhormoz Branch, Islamic Azad Univ., Iran

DOI: https://doi.org/10.37863/umzh.v72i12.881

Keywords: Multiplicity results, Non-trivial solution, Critical point theory, Variational methods

Abstract

UDC 517.9

Multiplicity results for a perturbed fourth-order problem on the real line with a perturbed nonlinear term depending on one real parameter is investigated.
Our approach is based on variational methods and critical point theory which are obtained in [G. Bonanno, A critical point theorem via the Ekeland variational principle, Nonlinear Anal., 75, 2992-3007 (2012)].

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