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Nodal solutions of fourth-order Kirchhoff equations with critical growth in R[sup]N
Hongling Pu, Shiqi Li, Sihua Liang, Dušan Repovš
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Oznake: fourth-order elliptic equation;Kirchhoff problem;critical exponent;variational methods;nodal solution;
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.
Leto: 2021 Vir: Fakulteta za matematiko in fiziko (UL FMF)
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