Qualitative and quantitative results for sets of singular points of convex bodies

Forum Mathematicum

Volumn 9, Issue 1, 1997, Pages 103-125

  Colesanti, Andrea ^a   Pucci, Carlo ^a  

^a Ist Analisi Globale ed Applicazioni   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031285893     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.1997.9.103     Document Type: Article

References (10)

1. Alberti, G.: On the structure of singular sets of convex functions. Calc. Var. 2 (1994), 17-27
2. Anderson, R.D. and Klee, V.L.: Convex functions and upper semi-continuous collections. Duke. Math. J. 19 (1952), 349-357
3. Anzellotti, G. and Ossanna, E.: Singular sets of convex bodies and surfaces with generalized curvature. Manuscripta Math. 86 (1995), 417-433
4. k-rectifiable sets. J. Reine Angew. Math. 453 (1994), 1-20
5. Besicovitch, A. S.: On singular points of convex surfaces. Convexity, Proceedings of Symposia in pure mathematics, vol. 7, Providence, Rhode Island (1963), 21-23
6. Durand, G.: Sur une généralization des surfaces convexes. J. Math. Pures Appl. 10 (9) (1931), 335-414
7. 2-rectifiability of the singular set of a convex set, in preparation
8. Reidemeister, K.: Über die singulären Randpunkte eines konvexen Körpers. Math. Ann. 83 (1921), 116-118
9. Schneider, R.: Convex bodies: the Brunn-Minkowski theory. Cambridge University Press, 1993
10. Zajiček, L.: On the differentiation of convex functions in finite and infinite dimensional spaces. Czech. Math. J. 29 (104) (1979), 340-348