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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



Symmetric decreasing rearrangement can be discontinuous

Authors: Frederick J. Almgren Jr. and Elliott H. Lieb
Journal: Bull. Amer. Math. Soc. 20 (1989), 177-180
MSC (1985): Primary 46E35; Secondary 26B99, 47B38
MathSciNet review: 968686
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  • [KB] B. Kawohl, Rearrangements and convexity of level sets in PDE, Lecture Notes in Math., vol. 1150, Springer-Verlag, Berlin and New York, 1985, 134 pp. MR 810619
  • [LE] E. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. (2) 118 (1983), 349-374. MR 717827
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