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

Hongling Pu; Shiqi Li; Sihua Liang; Dušan D. Repovš

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

Analysis of PDEs 2021-03-29 v1

Authors: Hongling Pu , Shiqi Li , Sihua Liang , Dušan D. Repovš

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.

Keywords

fourth-order kirchhoff equations critical growth nodal solutions nehari manifold constrained minimization elliptic equations

Cite

@article{arxiv.2103.14114,
  title  = {Nodal solutions of fourth-order Kirchhoff equations with critical growth in $\mathbb{R}^N$},
  author = {Hongling Pu and Shiqi Li and Sihua Liang and Dušan D. Repovš},
  journal= {arXiv preprint arXiv:2103.14114},
  year   = {2021}
}

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