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Existence Results for Fractional p ( x , .)-Laplacian Problem Via the Nehari Manifold Approach
Applied Mathematics and Optimization ( IF 1.6 ) Pub Date : 2020-05-11 , DOI: 10.1007/s00245-020-09686-z E. Azroul , A. Benkirane , A. Boumazourh , M. Shimi
中文翻译:
通过Nehari流形方法的分数阶p(x,。)-Laplacian问题的存在性结果
更新日期:2020-05-11
Applied Mathematics and Optimization ( IF 1.6 ) Pub Date : 2020-05-11 , DOI: 10.1007/s00245-020-09686-z E. Azroul , A. Benkirane , A. Boumazourh , M. Shimi
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:
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。