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Symmetric decreasing rearrangement can be discontinuous
Author(s):
Frederick J.
Almgren Jr.;
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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Additional information
References:
- [AL] F. Almgren and E. Lieb, Symmetric decreasing rearrangement is sometimes continuous (submitted).
- [CJ] J-M. Coron, The continuity of the rearrangement in W1,(R), Ann. Scuola Norm. Sup. Pisa Sér 4 11 (1984), 57-85. MR 752580
- [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
- [PS] G. Pólya and G. Szegö, Isoperimetric inequalities in mathematical physics, Ann. of Math. Studies no. 27, Princeton Univ. Press, Princeton, N. J., 1952. MR 43486
- [RS] B. Ruf and S. Solimini, On a class of superlinear Sturm-Liouville problems with arbitrarily many solutions, SIAM J. Math. Anal. 17 (1986), 761-771. MR 846387
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15754-6
PII:
S 0273-0979(1989)15754-6
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