Fourth-order elastic beam equations with variable coefficients having combined effects of concave and convex nonlinearities

Gabriele Bonanno, Beatrice Di Bella, Donal O'Regan

Abstract


The existence of two non trivial solutions for a nonlinear fourth-order boundary value problem is established. The coefficients of the equations are possibly variable and the nonlinearity includes, in particular, the combined effects of concavity and convexity. The approach is based on variational methods.

Keywords


Nonlinear differential problem; fourth-order equation; critical point theory.

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DOI: https://doi.org/10.1478/AAPP.1011A8

Copyright (c) 2023 Gabriele Bonanno, Beatrice Di Bella, Donal O'Regan

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