The continuity of the rearrangement in W 1 , p ( ℝ )

J. M. Coron

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1984)

  • Volume: 11, Issue: 1, page 57-85
  • ISSN: 0391-173X

How to cite

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Coron, J. M.. "The continuity of the rearrangement in $W^{1,p}(\mathbb {R})$." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 11.1 (1984): 57-85. <http://eudml.org/doc/83925>.

@article{Coron1984,
author = {Coron, J. M.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {continuity of the rearrangement; nonincreasing rearrangement; weakly lower semi-continuous},
language = {eng},
number = {1},
pages = {57-85},
publisher = {Scuola normale superiore},
title = {The continuity of the rearrangement in $W^\{1,p\}(\mathbb \{R\})$},
url = {http://eudml.org/doc/83925},
volume = {11},
year = {1984},
}

TY - JOUR
AU - Coron, J. M.
TI - The continuity of the rearrangement in $W^{1,p}(\mathbb {R})$
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1984
PB - Scuola normale superiore
VL - 11
IS - 1
SP - 57
EP - 85
LA - eng
KW - continuity of the rearrangement; nonincreasing rearrangement; weakly lower semi-continuous
UR - http://eudml.org/doc/83925
ER -

References

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  1. [1] M.S. Berger - L.E. Fraenkel, A global theory of steady vortex in an ideal fluid, Acta Math., 132 (1974), pp. 14-51. Zbl0282.76014MR422916
  2. [2] G.F.D. Duff, A general integral inequality for the derivative of an equimeasurable rearrangement, Canad. J. Math., vol. XXVIII, 4 (1976), pp. 793-804. Zbl0342.26015MR409745
  3. [3] K. Hilden, Symmetrization of functions in Sobolev spaces and the isoperimetric inequality, Manuscripta Math., 18 (1976), pp. 215-235. Zbl0365.46031MR409773
  4. [4] E.H. Lieb, Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation, Studies in Appl. Math., 57 (1977), pp. 93-105. Zbl0369.35022MR471785
  5. [5] G. Polya - G. Szego, Isoperimetric inequalities in mathematical physics, Ann. of Math. studies, 27 (Princeton, 1951). Zbl0044.38301MR43486
  6. [6] E. Sperner, Symmetrisierung von funktionen auf sphären, Math. Z., 134 (1973), pp. 317-327. Zbl0283.26015MR340558
  7. [7] E. Sperner, Symmetrisierung für funktionen mehrer reellee variablen, Manuscripta Math., 11 (1974), pp. 159-170. Zbl0268.26011MR328000
  8. [8] G. Talenti, Best constant in Sobolev inequality, Ann. Mat. Pura Appl., 110 (1976), pp. 353-372. Zbl0353.46018MR463908

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