论文标题
分数Moser-trudinger不平等的评论
Remarks on the fractional Moser-Trudinger inequality
论文作者
论文摘要
在本文中，我们研究了分数Moser-trudinger不等式与分数$ \ left（\ frac {kp} {p-1}，p \ right）$ - poincaré类型不平等的euclidean领域的不平等现象，并讨论了这种不平等结果在本地案例中相似的结果。我们进一步提供了针对分数$（q，p）$ - 庞加莱型不平等现象的足够条件。我们还在非本地环境中得出了adachi-tanaka型不平等。
In this article, we study the connection between the fractional Moser-Trudinger inequality and the fractional $\left(\frac{kp}{p-1},p\right)$-Poincaré type inequality for any Euclidean domain and discuss the sharpness of this inequality whose analogous results are well known in the local case. We further provide sufficient conditions on domains for fractional $(q,p)$-Poincaré type inequalities to hold. We also derive Adachi-Tanaka type inequalities in the non-local setting.
