Monotonicity and one-dimensional symmetry for the solutions of △u + f(u) = 0 with possibly discontinuous nonlinearity;Propriétés de monotonie et de symétrie unidimensionnelle pour les solutions de △u + f(u) = 0 avec des fonctions f éventuellement discontinues

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

Volumn 330, Issue 11, 2000, Pages 973-978

  Farina, Alberto ^a  

^a UNIVERSITÉ DE PICARDIE JULES VERNE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034196384     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(00)00305-0     Document Type: Article

References (11)

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3. Berestycki H., Hamel F., Monneau R., One-dimensional Symmetry for Some Bounded Entire Solutions of Some Elliptic Equations, Preprint, 1999.
4. Diaz J.I., Nonlinear partial differential equations and free boundaries, Research Notes in Matematics, 106, 1985.
5. Farina A., Some remarks on a conjecture of De Giorgi, Calc. Var. Partial Differ. Eq. 8 (3) (1999) 233-245.
6. n and related conjectures, Ricerche di Matematica: Special Issue in Memory of E. De Giorgi, XLVIII, 1999, pp. 129-154.
7. Farina A., (2000) (to appear).
8. Ghoussoub G., Gui C., On a conjecture of De Giorgi and some related problems, Math. Ann. 311 (1998) 481-491.
9. e Série 79 (1) (2000) 57-71.
10. e Série 78 (8) (1999) 769-789.
11. Vazquez J.-L., A strong maximum principle for some quasilinear elliptic equations, Appl. Math. and Optim. 12 (1984) 191-202.