Abstract
In this paper, we study the existence of nodal solutions for the Kirchhoff-type problem with concave-convex nonlinearities
where Ω is a bounded domain with smooth boundary
in
, a
. By constraining the energy functional of the above problem on a subset of the nodal Nehari set
, we show that there exists a constant
such that for any
, the above problem has a nodal solution
with positive energy.
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Disclosure statement
No potential conflict of interest was reported by the author(s).