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arXiv:2103.14114 [math.AP]AbstractReferencesReviewsResources

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

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

Published 2021-03-25Version 1

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.

Journal: Electron. J. Differential Equations 2021 (2021), art. 19, 20 pp
Categories: math.AP
Subjects: 35A15, 35J60, 47G20
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