Nodal solutions of fourth-order Kirchhoff equations with critical growth in R^N

Electronic Journal of Differential Equations

article

Hongling Pu¹  Shiqi Li¹  Sihua Liang¹  Dusan D. Repovs² 

[1] College of Mathematics Changchun Normal University Changchun 130032;Faculty of Education and Faculty of Mathematics and Physics University of Ljubljana & Institute of Mathematics

关键词: Fourth-order elliptic equation;    Kirchhoff problem;    critical exponent;    variational methods;    nodal solution.;   

DOI  :  10.58997/ejde.2021.19

学科分类：数学（综合）

来源: Texas State University

【 摘 要 】

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

【 授权许可】

CC BY