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A New Proof of Subcritical Trudinger-Moser Inequalities on the Whole Euclidean Space

A New Proof of Subcritical Trudinger-Moser Inequalities on the Whole Euclidean Space
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Year:    2013

Author:    Yunyan Yang, Xiaobao Zhu

Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 4 : pp. 300–304

Abstract

In this note, we give a new proof of subcritical Trudinger-Moser inequality on $R^n$. All the existing proofs on this inequality are based on the rearrangement argument with respect to functions in the Sobolev space $W^{1,n}(R^n)$. Our method avoids this technique and thus can be used in the Riemannian manifold case and in the entire Heisenberg group.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v26.n4.2

Journal of Partial Differential Equations, Vol. 26 (2013), Iss. 4 : pp. 300–304

Published online:    2013-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    5

Keywords:    Trudinger-Moser inequality

Author Details

Yunyan Yang

Xiaobao Zhu

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