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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Symmetric decreasing rearrangement can be discontinuous
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by Frederick J. Almgren Jr. and Elliott H. Lieb PDF
Bull. Amer. Math. Soc. 20 (1989), 177-180
References
    [AL] F. Almgren and E. Lieb, Symmetric decreasing rearrangement is sometimes continuous (submitted).
  • J.-M. Coron, The continuity of the rearrangement in $W^{1,p}(\textbf {R})$, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 11 (1984), no. 1, 57–85. MR 752580
  • Bernhard Kawohl, Rearrangements and convexity of level sets in PDE, Lecture Notes in Mathematics, vol. 1150, Springer-Verlag, Berlin, 1985. MR 810619, DOI 10.1007/BFb0075060
  • Elliott H. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. (2) 118 (1983), no. 2, 349–374. MR 717827, DOI 10.2307/2007032
  • G. Pólya and G. Szegö, Isoperimetric Inequalities in Mathematical Physics, Annals of Mathematics Studies, No. 27, Princeton University Press, Princeton, N. J., 1951. MR 0043486, DOI 10.1515/9781400882663
  • Bernhard Ruf and Sergio Solimini, On a class of superlinear Sturm-Liouville problems with arbitrarily many solutions, SIAM J. Math. Anal. 17 (1986), no. 4, 761–771. MR 846387, DOI 10.1137/0517055
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 20 (1989), 177-180
  • MSC (1985): Primary 46E35; Secondary 26B99, 47B38
  • DOI: https://doi.org/10.1090/S0273-0979-1989-15754-6
  • MathSciNet review: 968686