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