In this paper, we study the existence and multiplicity of solutions for a class of equations involving a nonlocal term and the biharmonic operator with critical exponent. By new techniques, multiplicity results are established together with variational method. It is worth noting that the method of this paper is obviously different from the existing literature.

中文翻译：

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关键Kirchhoff型四阶椭圆方程的多重解

在本文中，我们研究了涉及非局部项和具有临界指数的双调和算子的一类方程的解的存在性和多重性。通过新技术，采用变分法建立了多重结果。值得注意的是，本文的方法明显不同于现有文献。