Abstract In this paper, the existence of two nontrivial solutions for a fractional problem with critical exponent, depending on real parameters, is established. The variational approach is used based on a local minimum theorem due to G. Bonanno. In addition, a numerical estimate on the real parameters is provided, for which the two solutions are obtained.

中文翻译：

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由次线性扰动引起的具有临界非线性的分数问题

摘要 在本文中，建立了依赖于实参数的具有临界指数的分数问题的两个非平凡解的存在性。基于 G. Bonanno 的局部极小定理使用变分方法。此外，还提供了对实参数的数值估计，由此获得了两个解。