Nodal solutions of fourth-order Kirchhoff equations with critical growth in R[sup]N

Pu, Hongling (author), Li, Shiqi (author), Liang, Sihua (author), Repovš, Dušan (author)

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.

• Language: English
• Keywords: fourth-order elliptic equation, Kirchhoff problem, critical exponent, variational methods, nodal solution
• Typology: 1.01 - Original Scientific Article
• Organization: PEF - Faculty of Education; FMF - Faculty of Mathematics and Physics
• Year: 2021
• Number of pages: art. no. 19, str. 1-20
• Numbering: Vol. 2021
• PID: 20.500.12556/RUL-128545
• UDC: 517.956
• ISSN on article: 1072-6691
• COBISS.SI-ID: 57778179
• Publication date in RUL: 19.07.2021

PU, Hongling, LI, Shiqi, LIANG, Sihua and REPOVŠ, Dušan, 2021, Nodal solutions of fourth-order Kirchhoff equations with critical growth in R[sup]N. Electronic journal of differential equations [online]. 2021. Vol. 2021, p. art. no. 19,  1-20. [Accessed 11 April 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=128545

Record is a part of a journal

• Title: Electronic journal of differential equations
• Shortened title: Electr. j. differ. equ.
• Publisher: Southwest Texas State University, University of North Texas
• ISSN: 1072-6691
• COBISS.SI-ID: 7027289