On a supercritical k-Hessian inequality of Trudinger–Moser type and extremal functions

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-05-07 DOI:10.1007/s10231-024-01455-x

José Francisco de Oliveira, João Marcos do Ó, Pedro Ubilla

引用次数: 0

Abstract

We establish a supercritical Trudinger–Moser type inequality for the k-Hessian operator on the space of the k-admissible radially symmetric functions \(\Phi ^{k}_{0,\textrm{rad}}(B)\), where B is the unit ball in \({\mathbb {R}}^{N}\). We also prove the existence of extremal functions for this new supercritical inequality.

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论特鲁丁格-莫泽类型的超临界 k-黑森不等式和极值函数

我们在 k-admissible 径向对称函数空间上建立了 k-Hessian 算子的超临界特鲁丁格-莫泽（Trudinger-Moser）型不等式 \(\Phi^{k}_{0,\textrm{rad}}(B)\)，其中 B 是 \({\mathbb {R}}^{N}\) 中的单位球。我们还证明了这个新的超临界不等式的极值函数的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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