Journal
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume 39, Issue 1-2, Pages 85-99Publisher
SPRINGER
DOI: 10.1007/s00526-009-0302-x
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Funding
- DFG [FR 2664/1-1]
- U.S. NSF [PHY 0652854]
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We give a new proof of certain cases of the sharp HLS inequality. Instead of symmetric decreasing rearrangement it uses the reflection positivity of inversions in spheres. In doing this we extend a characterization of the minimizing functions due to Li and Zhu.
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