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In this note, we deal with a problem of the type $$\cases {-h\left (\int_{\Omega}|\nabla u(x)|^2dx\right ) \Delta u=f(u) & in $\Omega$\cr & \cru_{|\partial\Omega}=0\ .\cr}$$ As an application of a new general multiplicityresult, we establish the existence of at least three solutions, two of whichare global minima of the related energy functional. The only condition assumedon $f$ is that it be subcritical and superlinear: no condition on the behaviourof $f$ at $0$ is requested.

Kirchhoff-type problems involving subcritical and superlinear nonlinearities satisfying no further condition