A modified singular Trudinger–Moser inequality

Abstract Let Ω⊂R2 $\varOmega \subset \mathbb{R}^{2}$ be a smooth bounded domain, W01,2(Ω) $W_{0}^{1,2}(\varOmega )$ be the standard Sobolev space. Assuming certain conditions on a function g:R→R $g:\mathbb{R}\rightarrow \mathbb{R}$, we derive a modified singular Trudinger–Moser inequality, which was...

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Bibliographic Details
Main Author: Yamin Wang
Format: Article
Language:English
Published: SpringerOpen 2019-06-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-019-2111-x