Applications of $p$-harmonic transplantation for functional inequalities involving a Finsler norm

Applications of $p$-harmonic transplantation for functional inequalities involving a Finsler norm
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$p$-调和移植在涉及芬斯勒范数的函数不等式中的应用

DOI：
10.1007/s42985-022-00168-1
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发表时间：
2022
期刊：
Partial Differential Equations and Applications
影响因子：
--
通讯作者：
and Futoshi Takahashi
and Futoshi Takahashi
中科院分区：
--
文献类型：
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作者：
Sadaf Habibi;and Futoshi Takahashi

文献摘要

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本文证明了Sobolev、Poincaré、对数Sobolev等几个包含精确极值信息的一般范数的不等式，并对某些对称函数成立。我们在对称函数之间使用Ioku变换，这是p-调和移植的一个特例。
In this paper, we prove several inequalities such as Sobolev, Poincaré, logarithmic Sobolev, which involve a general norm with accurate information of extremals, and are valid for some symmetric functions. We use Ioku’s transformation, which is a special case ofp-harmonic transplantation, between symmetric functions.