The existence of a symmetric global minimizer on ℝn-1 implies the existence of a counter-example to a conjecture of De Giorgi in ℝn;L'existence d'un minimiseur global symétrique sur ℝn-1 implique l'existence d'un contre-exemple à une conjecture de De Giorgi dans ℝn

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 333, Issue 5, 2001, Pages 427-431

  Jerison, David ^a   Monneau, Régis ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITÉ PARIS EST   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041868237     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(01)02079-1     Document Type: Article

References (7)

1. Alberti G., Ambrosio L., Cabré X., On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property, Acta Appl. Math. (to appear).
2. 3 and a conjecture of De Giorgi. J. Amer. Math. Soc. 13:2000;725-739.
3. Berestycki H., Nirenberg L. On the method of moving planes and the sliding method. Bol. Soc. Braseleira Mat. 22:1991;1-37.
4. Bombieri E., De Giorgi E., Giusti E. Minimal cones and the Bernstein problem. Invent. Math. 7:1969;243-268.
5. De Giorgi E. Convergence problems for functionals and operators. De Giorgi E., et al. Proc. Int. Meeting on Recent Methods in Nonlinear Analysis, Rome, 1978. 1979;131-188 Pitagora, Bologna.
6. Ghoussoub N., Gui C. On a conjecture of De Giorgi and some related problems. Math. Ann. 311:1998;481-491.
7. Giusti E. Minimal Surfaces and Functions of Bounded Variation. 1984;Birkhäuser, Basel.