Nodal solutions of fourth-order Kirchhoff equations with critical growth in RN

Date

2021-03-25

Authors

Pu, Hongling
Li, Shiqi
Liang, Sihua
Repovs, Dusan D.

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

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

Description

Keywords

Fourth-order elliptic equation, Kirchhoff problem, Critical exponent;, Variational methods, Nodal solution

Citation

Pu, H., Li, S., Liang, S., & Repovs, D. D. (2021). Nodal solutions of fourth-order Kirchhoff equations with critical growth in RN. <i>Electronic Journal of Differential Equations, 2021</i>(19), pp. 1-20.

Rights

Attribution 4.0 International

Rights Holder

Rights License