Free Access
Issue
ESAIM: COCV
Volume 13, Number 1, January-March 2007
Page(s) 107 - 119
DOI https://doi.org/10.1051/cocv:2007005
Published online 14 February 2007
  1. O. Alvarez, and M. Bardi, Viscosity solutions methods for singular perturbations in deterministic and stochastic control. SIAM J. Control Optim. 40 (2001) 1159–1188. [CrossRef] [MathSciNet] [Google Scholar]
  2. M. Arisawa, Quasi-periodic homogenizations for second-order Hamilton-Jacobi-Bellmann equations. Adv. Sci. Appl. 11 (2001) 465–480. [Google Scholar]
  3. M. Bardi and I. Capuzzo Dolcetta, Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations. Birkhäuser Boston, Boston, MA (1997). [Google Scholar]
  4. G. Barles, Solutions de viscosité des équations de Hamilton-Jacobi. Springer-Verlag, Math. Appl. 17 (1994). [Google Scholar]
  5. A. Bellaïche and J.-J. Risler, ed., Sub-Riemannian Geometry. Birkhäuser, Progress. Math. 144 (1996). [Google Scholar]
  6. I. Birindelli and J. Wigniolle, Homogenization of Hamilton-Jacobi equations in the Heisenberg Group. Commun. Pure Appl. Anal. 2 (2003) 461–479. [CrossRef] [MathSciNet] [Google Scholar]
  7. I. Capuzzo Dolcetta and H. Ishii, On the rate of convergence in homogenization of Hamilton-Jacobi equations. Indiana University Math. J. 50 (2001) 1113–1129. [CrossRef] [Google Scholar]
  8. L.C. Evans, The perturbed test function method for viscosity solutions of nonlinear PDE. Proc. Roy. Soc. Edinburgh 11A (1989) 359–375. [Google Scholar]
  9. L.C. Evans, Periodic homogenization of certain fully nonlinear PDE. Proc. Roy. Soc. Edinburgh 120 (1992) 245–265. [Google Scholar]
  10. G.B. Folland and E.M. Stein, Hardy spaces on homogeneous groups. Princeton University Press, Princeton, N.J., University of Tokyo Press, Tokyo. Math. Notes 28 (1982) [Google Scholar]
  11. H. Ishii, Perron's method for Hamilton-Jacobi equations. Duke Math. J. 55 (1987) 369–384. [CrossRef] [MathSciNet] [Google Scholar]
  12. P. Juutinen, G. Lu, J. Manfredi and B. Stroffolini, Convex functions on Carnot Groups, to appear in Revista Mathematica Iberoamericana. [Google Scholar]
  13. G. Lu, J. Manfredi and B. Stroffolini, Convex functions on the Heisenberg Group. Calc. Var. Partial Differential Equations 19 (2004) 1–22. [CrossRef] [MathSciNet] [Google Scholar]
  14. P.L. Lions, G. Papanicolau and R.S. Varadhan, Homogenization of Hamilton-Jacobi equations, preprint (1986). [Google Scholar]
  15. J. Manfredi, Nonlinear subelliptic equations on Carnot Groups. Notes of a course at the School on Analysis and Geometry, Trento (2003). [Google Scholar]
  16. J. Manfredi and B. Stroffolini A Version of the Hopf-Lax Formula in the Heisenberg Group. Comm. in Partial Differential Equations 27 (2002) 1139–1159. [Google Scholar]
  17. R. Montgomery, A Tour of Subriemannian Geometries, their geodesics and applications. American Mathematical Society, Providence, RI. Math. Surveys Monographs 91(2002). [Google Scholar]
  18. R. Monti and F. Serra Cassano, Surface measures in Carnot-Carathéodory spaces. Calc. Var. 13 (2001) 339-376. [Google Scholar]
  19. D. Morbidelli, Fractional Sobolev norms and structure of Carnot-Caratheodory balls for Hörmander vector fields. Studia Math. 139 (2000) 213–244. [MathSciNet] [Google Scholar]
  20. A. Nagel, E.M. Stein and S. Wainger, Balls and metrics defined by vector fields I: basic properties. Acta Math. 137 (1976) 247–320. [CrossRef] [MathSciNet] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.