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Published 2010 | Submitted
Book Section - Chapter Open

Sharp Fractional Hardy Inequalities in Half-Spaces

Abstract

We determine the sharp constant in the Hardy inequality for fractional Sobolev spaces on half-spaces. Our proof relies on a nonlinear and nonlocal version of the ground state representation.

Additional Information

© 2010 Springer Science+Business Media, LLC. Acknowledgments. Support through DFG grant FR 2664/1-1 (R.F.) and U.S. NSF grants PHY-0652854 (R.F.) and PHY-0652356 (R.S.) is gratefully acknowledged.

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