Best constants for Gagliardo-Nirenberg inequalities on the real line

Joakim Petersson

doi:10.1016/j.na.2006.06.002

Best constants for Gagliardo-Nirenberg inequalities on the real line

Joakim Petersson

Mathematics (Faculty of Sciences)

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

Abstract

We use a variational approach to find the best constants for certain Gagliardo-Nirenberg inequalities on the real line. To show the existence of a minimizer, we use the method of concentration-compactness.

Original language	English
Pages (from-to)	587-600
Journal	Nonlinear Analysis: Theory, Methods & Applications
Volume	67
Issue number	2
DOIs	https://doi.org/10.1016/j.na.2006.06.002
Publication status	Published - 2007

Subject classification (UKÄ)

Mathematics

Free keywords

concentration-compactness
Gagliardo-Nirenberg inequalifies
optimal constants

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10.1016/j.na.2006.06.002

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title = "Best constants for Gagliardo-Nirenberg inequalities on the real line",

abstract = "We use a variational approach to find the best constants for certain Gagliardo-Nirenberg inequalities on the real line. To show the existence of a minimizer, we use the method of concentration-compactness.",

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KW - Gagliardo-Nirenberg inequalifies

KW - optimal constants

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DO - 10.1016/j.na.2006.06.002

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JO - Nonlinear Analysis: Theory, Methods & Applications

JF - Nonlinear Analysis: Theory, Methods & Applications

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ER -

Best constants for Gagliardo-Nirenberg inequalities on the real line

Abstract

Subject classification (UKÄ)

Free keywords

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