Adams' Inequality with the Exact Growth Condition in ℝ4

Nader Masmoudi; Federica Sani

doi:10.1002/cpa.21473

Adams' Inequality with the Exact Growth Condition in ℝ⁴

Research output: Contribution to journal › Article › peer-review

Abstract

Adams' inequality is an extension of the Trudinger-Moser inequality to the case when the Sobolev space considered has more than one derivative. The goal of this paper is to give the optimal growth rate of the exponential-type function in Adams' inequality when the problem is considered in the whole space ℝ⁴.

Original language	English (US)
Pages (from-to)	1307-1335
Number of pages	29
Journal	Communications on Pure and Applied Mathematics
Volume	67
Issue number	8
DOIs	https://doi.org/10.1002/cpa.21473
State	Published - Aug 2014

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.21473

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abstract = "Adams' inequality is an extension of the Trudinger-Moser inequality to the case when the Sobolev space considered has more than one derivative. The goal of this paper is to give the optimal growth rate of the exponential-type function in Adams' inequality when the problem is considered in the whole space ℝ4.",

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Adams' Inequality with the Exact Growth Condition in ℝ⁴

Abstract

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