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Existence of solutions for fractional p&q-Laplacian system involving critical sandwich-type nonlinearities
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-07-21 , DOI: 10.1080/00036811.2021.1955859 Chengjun Ding 1 , Yang Yang 1
中文翻译:
涉及临界三明治型非线性的分数 p&q-拉普拉斯系统解的存在性
更新日期:2021-07-21
Applicable Analysis ( IF 1.1 ) Pub Date : 2021-07-21 , DOI: 10.1080/00036811.2021.1955859 Chengjun Ding 1 , Yang Yang 1
Affiliation
In this paper, we consider the following fractional -Laplacian system involving critical sandwich-type nonlinearities: where is a bounded domain with smooth boundary, , are three parameters, , satisfy , is the fractional critical Sobolev exponent. A nontrivial solution is obtained by variational methods and some analytical techniques.
中文翻译:
涉及临界三明治型非线性的分数 p&q-拉普拉斯系统解的存在性
在本文中,我们考虑以下分数- 涉及临界三明治型非线性的拉普拉斯系统:在哪里是一个边界光滑的有界域,,是三个参数,,满足,是分数临界 Sobolev 指数。一个非平凡的解决方案是通过变分方法和一些分析技术获得的。