Some Remarks about a Notion of Rearrangement

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Volumn 29, Issue 2, 2000, Pages 457-472

  Alberti, Giovanni ^a  

^a UNIVERSITY OF PISA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039787372     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. G. ALBERTI - G. BELLETTINI, A nonlocal anisotropic model for phase transitions, part I: the optimal profile problem. Math. Ann. 310 (1998), 527-560.
2. G. ALBERTI - G. BELLETTINI - M. CASSANDRO - E. PRESUTTI, Surface tension in Ising systems with Kac potentials, J. Statist. Phys. 82 (1996), 743-796.
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.
4. F. BROCK, Qualitativepropertiesofanonlocalmodelforphasetransitionsinspace.Preprint, 1997.
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.
6. C. CASTAING - M. VALADIER, "Convex Analysis and Measurable Multifunctions", Lectures Notes in Math. 580, Springer-Veriag, Berlin Heidelberg 1977.
7. A. DEMASI - E. ORLANDI - E. PRESUTTI - L. TRIÓLO, Uniqueness and global stability of the instanton in non local evolution equations. Rend. Mat. Appl. 14 (1994), 693-723.
8. L. C. EVANS - R. F. GARIEPY, "Measure Theory and Fine Properties of Functions", Studies in Advanced Math., CRC Press, Boca Raton 1992.
9. A. FARINA, Some remarks on a conjecture ofDe Giorgi, Cale. Var. Partial Differential Equations 8 (1999), 233-245.
10. B. KAWOHL, "Rearrangements and Convexity of Level Sets in PDE", Lect. Notes in Math. 1150, Springer-Verlag, Beriin Heidelberg 1985.
11. G. TALENTI, Inequalities in rearrangement invariant function 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 PubUshing House, Prague, 1994.
12. L. AMBROSIO - X. CABRÉ, Entire solutions of semilinear elliptic equations in and a conjecture of De Giorgi, J. Amer. Math. Soc, to appear.
13. L. MÓDICA, The gradient theory of phase transitions and the minimal interface criterion. Arch. Rational Mech. Anal. 98 (1987), 123-142.