FRACTIONAL GAGLIARDO-NIRENBERG INEQUALITY

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Published: Aug 15, 2011
DOI: https://doi.org/10.14403/jcms.2011.24.3.583
Keywords:
fractional inequality, Gagliardo-Nirenberg inequality, fractional Sobolev inequality, fractional Laplacian
Mathematics Subject Classification (2020):
Primary 26D10, 26A33, 35A23

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Young Ja Park
Department of Mathematics, Hoseo University

Abstract





A fractional Gagliardo-Nirenberg inequality is established. A sharp fractional Sobolev inequality is discussed as a direct consequence.





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Article Details

Issue
Vol. 24 No. 3 (2011)
Section
Articles