On Trudinger-Moser type inequalities involving Sobolev-Lorentz spaces

被引：5

作者：

Ruf, Bernhard ^{[1
]}

Tarsi, Cristina ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2009年 / 188卷 / 03期

关键词：

Trudinger-Moser inequality; Lorentz spaces; EXTREMAL-FUNCTIONS; RIEMANNIAN-MANIFOLDS; ELLIPTIC-EQUATIONS; CRITICAL EXPONENT; SHARP FORM; OPERATORS; THEOREM;

D O I：

10.1007/s10231-008-0077-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalizations of the Trudinger-Moser inequality to Sobolev-Lorentz spaces with weights are considered. The weights in these spaces allow for the addition of certain lower order terms in the exponential integral. We prove an explicit relation between the weights and the lower order terms; furthermore, we show that the resulting inequalities are sharp, and that there are related phenomena of concentration-compactness.

引用

页码：369 / 397

页数：29

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