One solution for nonlocal fourth order equations

Ghasem A. Afrouzi; David Barilla; Giuseppe Caristi; Shahin Moradi

doi:10.5269/bspm.43178

Ghasem A. Afrouzi University of Mazandaran
David Barilla University of Messina
Giuseppe Caristi University of Messina
Shahin Moradi University of Mazandaran

Abstract

A critical point result for differentiable functionals is exploited in order to prove that a suitable class of fourth-order boundary value problem of Kirchhoff-type possesses at least one weak solution under an asymptotical behavior of the nonlinear datum at zero. Some examples to illustrate the results are given.

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References

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