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

Autori

  • Gabriele Bonanno Università degli Studi di Messina
  • Beatrice Di Bella Università degli Studi di Messina
  • Donal O'Regan National University of Ireland, Galway

DOI:

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

Parole chiave:

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

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.

Biografie autore

  • Gabriele Bonanno, Università degli Studi di Messina
    Dipartimento di Ingegneria
  • Beatrice Di Bella, Università degli Studi di Messina
    Diaprtimento di Ingegneria
  • Donal O'Regan, National University of Ireland, Galway
    School of Mathematical and Statistical Sciences

Pubblicato

2023-03-23

Fascicolo

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