We deal with the existence and multiplicity of solutions for a non-local fractional system involving combined critical non-linearities. Some existence results are obtained by splitting the Nehari manifold and applying the Mountain–Pass theorem of Ambrosetti and Rabinowitz.

中文翻译：

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带有联合Sobolev临界条件的分数阶Laplacian系统正解的存在性和多重性

我们处理涉及组合非线性临界的非局部分数系统的解的存在性和多重性。通过分解Nehari流形并应用Ambrosetti和Rabinowitz的Mountain-Pass定理，可以获得一些存在的结果。