T. Bartsch and M. Willem, Infinitely many radial solutions of a semilinear elliptic problem on RN , Arch. Rational Mech. Anal. 124 (1993), 261–276.

H. Brezis and L. Nirenberg, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure. Appl. Math. 36 (1983), 437–477.

D.M. Cao and X.P. Zhu, On the existence and nodal character of solutions of semilinear elliptic equations, Acta Math. Sci. (English Ed.) 8 (1988), 345–359.

D. Cassani, Z.S. Liu, C. Tarsi and J.J. Zhang, Multiplicity of sign-changing solutions for Kirchhoff-type equations, Nonlinear Anal. 186 (2019), 145–161.

G. Cerami, S. Solimini and M. Struwe, Some existence results for superlinear elliptic boundary value problems involving critical exponents, J. Funct. Anal. 69 (1986), 289–306.

B. Chen and Z.Q. Ou, Sign-changing and nontrivial solutions for a class of Kirchhofftype problems, J. Math. Anal. Appl. 481 (2020), 123476.

Y.B. Deng, The existence and nodal character of the solutions in RN for semilinear elliptic equation involving critical Sobolev exponent, Acta Math. Sci. (English Ed.) 9 (1989), 385–402.

Y.B. Deng, S.J. Peng and W. Shuai, Existence and asymptotic behavior of nodal solutions for the Kirchhoff-type problems in R3 , J. Funct. Anal. 269 (2015), 3500–3527.

Y.B. Deng and W. Shuai, Sign-changing multi-bump solutions for Kirchhoff-type equations in R3 , Discrete Contin. Dyn. Syst. 38 (2018), 3139–3168.

G.M. Figueiredo and J.R. Santos Junior, Existence of a least energy nodal solution for a Schrödinger–Kirchhoff equation with potential vanishing at infinity, J. Math. Phys. 56 (2015), no. 5, 051506, 18 pp.

L. Gao, C.F. Chen and C.X. Zhu, Existence of sign-changing solutions for Kirchhoff equations with critical or supercritical nonlinearity, Appl. Math. Lett. 107 (2020), Article 106424.

W.T. Huang and L. Wang, Infinitely many sign-changing solutions for Kirchhoff type equations, Complex Var. Elliptic Equ. 65 (2020), 920–935.

G. Kirchhoff, Mechanik, Teubner, Leipzig, 1883.

S.S. Lu, Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains, J. Math. Anal. Appl. 432 (2015), 965–982.

Q. Li, X.S. Du and Z.Q. Zhao, Existence of sign-changing solutions for nonlocal Kirchhoff-Schrödinger-type equations in R3 , J. Math. Anal. Appl. 477 (2019), 174–186.

C.Y. Lei, G.S. Liu and L.T. Guo, Multiple positive solutions for a Kirchhoff type problem with a critical nonlinearity, Nonlinear Anal. Real World Appl. 31 (2016), 343–355.

A.M. Mao and Z.T. Zhang, Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition, Nonlinear Anal. 70 (2009), 1275–1287.

D.D. Qin, F.F. Liao, Y.B. He and X.H. Tang, Infinitely many sign-changing solutions for Kirchhoff-type equations in R3 , Bull. Malays. Math. Sci. Soc. 42 (2019), 1055–1070.

W. Shuai, Sign-changing solutions for a class of Kirchhoff-type problem in bounded domains, J. Differential Equations 259 (2015), 1256–1274.

J.J. Sun, L. Li, M. Cencelj and B. Gabrovsek, Infinitely many sign-changing solutions for Kirchhoff type problems R3 , Nonlinear Anal. 186 (2019), 33–54.

X.H. Tang and B.T. Cheng, Ground state sign-changing solutions for Kirchhoff type problems in bounded domains, J. Differential Equations 261 (2016), 2384–2402.

G. Tarantello, Nodal solutions of semilinear elliptic equations with critical exponent, Differential Integral Equations 5 (1992), 25–42.

D.B. Wang, Least energy sign-changing solutions of Kirchhoff-type equation with critical growth, J. Math. Phys. 61 (2020), no. 1, 011501, 19 pp.

L. Wang, B.L. Zhang and K. Cheng, Ground state sign-changing solutions for the Schrödinger-Kirchhoff equation in R3 , J. Math. Anal. Appl. 466 (2018), 1545–1569.

M. Willem, Minimax Theorem, Birkhäuser, Boston, 1996.

K. Wu and F. Zhou, Nodal solutions for a Kirchhoff type problem in RN , Appl. Math. Lett. 88 (2019), 58–63.

L.P. Xu and H.B. Chen, Sign-changing solutions to Schrödinger–Kirchhoff-type equations with critical exponent, Adv. Difference Equ. (2016), no. 121, 14 pp.

Z.T. Zhang and K. Perera, Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow, J. Math. Anal. Appl. 317 (2006), 456–463.

J.F. Zhao and X.Q. Liu, Nodal solutions for Kirchhoff equation in R3 with critical growth, Appl. Math. Lett. 102 (2020), 106101.

X.J. Zhong and C.L. Tang, The existence and nonexistence results of ground state nodal solutions for a Kirchhoff type problem, Commun. Pure Appl. Anal. 16 (2017), 611–627.