Some remarks about a notion of rearrangement

Giovanni Alberti

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2000)

  • Volume: 29, Issue: 2, page 457-472
  • ISSN: 0391-173X

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Alberti, Giovanni. "Some remarks about a notion of rearrangement." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 29.2 (2000): 457-472. <http://eudml.org/doc/84413>.

@article{Alberti2000,
author = {Alberti, Giovanni},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {non-local energy; rearrangement; minimizers; nonlocal functionals},
language = {eng},
number = {2},
pages = {457-472},
publisher = {Scuola normale superiore},
title = {Some remarks about a notion of rearrangement},
url = {http://eudml.org/doc/84413},
volume = {29},
year = {2000},
}

TY - JOUR
AU - Alberti, Giovanni
TI - Some remarks about a notion of rearrangement
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2000
PB - Scuola normale superiore
VL - 29
IS - 2
SP - 457
EP - 472
LA - eng
KW - non-local energy; rearrangement; minimizers; nonlocal functionals
UR - http://eudml.org/doc/84413
ER -

References

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  3. [3] P.W. Bates - P.C. Fife - X. Ren - X. Wang, Travelling waves in a convolution model for phase transitions, Arch. Rational Mech. Anal.138 (1997), 105-136. Zbl0889.45012MR1463804
  4. [4] F. Brock, Qualitative properties of a nonlocal model for phase transitions in space, Preprint, 1997. 
  5. [5] G. Carbou, Unicité et minimalité des solutions d'une équation de Ginzburg-Landau, Ann. Inst. H. Poincaré, Anal. Non Linéaire, 12 (1995), 305-318. Zbl0835.35045MR1340266
  6. [6] C. Castaing - M. Valadier, "Convex Analysis and Measurable Multifunctions", Lectures Notes in Math.580, Springer-Verlag, BerlinHeidelberg1977. Zbl0346.46038MR467310
  7. [7] A. De Masi - E. Orlandi - E. Presutti - L. Triolo, Uniqueness and global stability of the instanton in non local evolution equations, Rend. Mat. Appl.14 (1994), 693-723. Zbl0821.45003MR1312824
  8. [8] L.C. Evans - R.F. Gariepy, "Measure Theory and Fine Properties of Functions", Studies in Advanced Math., CRC Press, Boca Raton1992. Zbl0804.28001MR1158660
  9. [9] A. Farina, Some remarks on a conjecture of De Giorgi, Calc. Var. Partial Differential Equations8 (1999), 233-245. Zbl0938.35057MR1688549
  10. [10] B. Kawohl, "Rearrangements and Convexity of Level Sets in PDE", Lect. Notes in Math.1150, Springer-Verlag, BerlinHeidelberg1985. Zbl0593.35002MR810619
  11. [11] G. Talenti, Inequalities in rearrangement invariantfunction spaces, In: " Nonlinear Analysis, Function Spaces and Applications", Vol. 5 (Proceedings of the Fifth Spring School held in Prague, May 23-28, 1994, M. Krbec et al. eds.), Prometheus Publishing House, Prague, 1994. Zbl0872.46020
  12. [12] L. Ambrosio - X. Cabré, Entire solutions of semilinear elliptic equations in R3 and a conjecture of De Giorgi, J. Amer. Math. Soc., to appear. Zbl0968.35041MR1775735
  13. [13] L. Modica, The gradient theory of phase transitions and the minimal interface criterion, Arch. Rational Mech. Anal.98 (1987), 123-142. Zbl0616.76004MR866718

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