Extremal functions for the trudinger-moser inequality in 2 dimensions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Extremal functions for the trudinger-moser inequality in 2 dimensions

Authors:

Martin Flucher

Institution:

1. ETH-Zürich HG G 36.1, R?mistr. 101, CH-8092, Zürich, Switzerland

Abstract:

We prove that theTrudinger-Moser constant

$\sup \left\{ {\int_\Omega {\exp (4\pi u^2 )dx:u \in H_0^{1,2} (\Omega )\int_\Omega {\left\| {\nabla u} \right\|^2 dx \leqslant 1} } } \right\}$

Keywords:
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