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

Du\v{s}an D. Repov\v{s}; Hongling Pu; Shiqi Li; Sihua Liang

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

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arxiv 2103.14114 v1 pith:IVC7BA7L submitted 2021-03-25 math.AP

Hongling Pu , Shiqi Li , Sihua Liang , Dušan D. Repovš This is my paper

classification math.AP

keywords criticalequationsfourth-ordergrowthkirchhoffmathbbnodalsolutions

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abstract

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.

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