Electronic Journal of Differential Equations, 
Vol. 2021 (2021), No. 19, pp. 1-20.

Title: Nodal solutions of fourth-order Kirchhoff equations with critical growth in R^N
       
Authors: Hongling Pu (Changchun Normal Univ., Changchun, China)
         Shiqi Li    (Changchun Normal Univ., Changchun, China)
         Sihua Liang (Changchun Normal Univ., Changchun, China)
         Dusan D. Repovs (Univ. of Ljubljana, Ljubljana, Slovenia)

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

Submitted January 24, 2021. Published March 25, 2021.
Math Subject Classifications: 35A15, 35J60, 47G20.
Key Words: Fourth-order elliptic equation; Kirchhoff problem; critical exponent;
           variational methods; nodal solution.