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Nodal solutions of fourth-order Kirchhoff equations with critical growth in $\mathbb{R}^N$

Published 25 Mar 2021 in math.AP | (2103.14114v1)

Abstract: We consider a class of fourth-order elliptic equations of Kirchhoff type with critical growth in $\mathbb{R}N$. By using constrained minimization in the Nehari manifold, we establish sufficient conditions for the existence of nodal (that is, sign-changing) solutions.

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