Free access
Issue
ESAIM: COCV
Volume 13, Number 2, April-June 2007
Page(s) 331 - 342
DOI http://dx.doi.org/10.1051/cocv:2007017
Published online 12 May 2007
  1. V.I. Arnold, Mathematical methods of classical mechanics, Graduate Texts in Mathematics 60, Springer-Verlag, New York, Heidelber, Berlin.
  2. H. Brezis, Analyse fonctionnelle, théorie et applications. Masson, Paris (1983).
  3. A. Cellina, On minima of a functional of the gradient: necessary conditions. Nonlinear Anal. 20 (1993) 337–341.
  4. A. Cellina, On minima of a functional of the gradient: sufficient conditions. Nonlinear Anal. 20 (1993) 343–347.
  5. A. Cellina and S. Perrotta, On the validity of the maximum principle and of the Euler-Lagrange equation for a minimum problem depending on the gradient. SIAM J. Control Optim. 36 (1998) 1987–1998. [CrossRef] [MathSciNet]
  6. L.C. Evans, Partial Differential Equations, Graduate Studies in Mathematics 19, American Mathematical Society, Providence, Rhode Island (1998).
  7. L.C. Evans and W. Gangbo, Differential equations methods for the Monge-Kantorovich mass transfer problem, Mem. Amer. Math. Soc. 137 (1999) 653.
  8. L.C. Evans and R.F. Gariepy, Measure Theory and Fine Properties of Functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL (1992).
  9. M. Tsuji, On Lindelöf's theorem in the theory of differential equations. Jap. J. Math. 16 (1939) 149–161. [MathSciNet]