In the present paper, we study the existence of two non-negative solutions for a class of fractional p(x, .)-Laplacian problems with non-negative weight functions. The main tool is the Nehari manifold approach. Moreover, under some suitable assumptions, continuous and compact embeddings results are established.

中文翻译：

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通过Nehari流形方法的分数阶p（x，。）-Laplacian问题的存在性结果

在本文中，我们研究了一类具有非负权函数的分数p（x，。）-Laplacian问题的两个非负解的存在。主要工具是Nehari流形方法。此外，在一些适当的假设下，建立了连续且紧凑的嵌入结果。