论文标题
Strauss and Lions类型的定理,用于分数Sobolev空间,具有可变指数和应用于非本地Kirchhoff-Choquard问题的应用
Strauss and Lions type theorems for the fractional Sobolev spaces with variable exponent and applications to nonlocal Kirchhoff-Choquard problem
论文作者
论文摘要
本文介绍了具有可变指数$ w^{s,p(。),\ tilde {p}(。,。)}(。)}(。作为应用程序,我们研究了$ \ mathbb {r}^n $中一类Kirchhoff-Choquard问题的解决方案。
This paper deals with Strauss and Lions-type theorems for fractional Sobolev spaces with variable exponent $W^{s,p(.),\tilde{p}(.,.)}(Ω)$, when $p$ and $\tilde{p}$ satisfies some conditions. As application, we study the existence of solutions for a class of Kirchhoff-Choquard problem in $\mathbb{R}^N$.