Hongling Pu, Shiqi Li, Sihua Liang, Dusan D. Repovs
Abstract:
We consider a class of fourth-order elliptic equations of
Kirchhoff type with critical growth in R^N.
By using constrained minimization in the Nehari manifold, we
establish sufficient conditions for the existence of nodal
(that is, sign-changing) solutions.
Submitted January 24, 2021. Published March 25, 2021.
Math Subject Classifications: 35A15, 35J60, 47G20.
Key Words: Fourth-order elliptic equation; Kirchhoff problem; critical exponent;
variational methods; nodal solution.
DOI: https://doi.org/10.58997/ejde.2021.19
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Hongling Pu College of Mathematics Changchun Normal University Changchun 130032, China email: pauline_phl@163.com |
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Shiqi Li College of Mathematics Changchun Normal University Changchun 130032, China email: lishiqi59@126.com |
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Sihua Liang College of Mathematics Changchun Normal University Changchun 130032, China email: liangsihua@163.com |
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Dusan D. Repovs Faculty of Education and Faculty of Mathematics and Physics University of Ljubljana & Institute of Mathematics, Physics and Mechanics Ljubljana, 1000, Slovenia email: dusan.repovs@guest.arnes.si |
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