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Fractional Hardy-Sobolev inequalities on half spaces

Article ID Journal Published Year Pages File Type
7222497 Nonlinear Analysis: Theory, Methods & Applications 2019 9 Pages PDF
Abstract
We investigate the existence of extremals for Hardy-Sobolev inequalities involving the Dirichlet fractional Laplacian (−Δ)s of order s∈(0,1) on half-spaces.
Keywords
47A6335A23Sobolev inequalityHardy inequality
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Preview
Fractional Hardy-Sobolev inequalities on half spaces
Authors
Roberta Musina, Alexander I. Nazarov,
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Journal
Nonlinear Analysis: Theory, Methods & Applications
Journal: Nonlinear Analysis: Theory, Methods & Applications
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Sobolev inequality
Hardy inequality
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