Free Access
Issue |
ESAIM: COCV
Volume 15, Number 1, January-March 2009
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Page(s) | 1 - 48 | |
DOI | https://doi.org/10.1051/cocv:2008017 | |
Published online | 23 January 2009 |
- G. Alberti, L. Ambrosio and X. Cabré, On a long standing conjecture of De Giorgi: symmetry in 3d for general nonlinearities and a local minimality property. Acta Appl. Math. 65 (2001) 9–33. [CrossRef] [MathSciNet] [Google Scholar]
- S. Aubry and P.Y. Le Daeron, The discrete Frenkel-Kontorova model and its extensions. Physica 8D (1983) 381–422. [Google Scholar]
- F. Auer and V. Bangert, Differentiability of the stable norm in codimension one. CRAS 333 (2001) 1095–1100. [Google Scholar]
- V. Bangert, On minimal laminations of the torus. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989) 95–138. [Google Scholar]
- V. Bangert, Geodesic rays, Busemann functions and monotone twist maps. Calc. Var. 2 (1994) 49–63. [CrossRef] [MathSciNet] [Google Scholar]
- P. Bernard and B. Buffoni, Optimal mass transportation and Mather theory. J. Eur. Math. Soc. 9 (2007) 85–121. [CrossRef] [MathSciNet] [Google Scholar]
- D. Burago, S. Ivanov and B. Kleiner, On the structure of the stable norm of periodic metrics. Math. Res. Lett. 4 (1997) 791–808. [MathSciNet] [Google Scholar]
- L. De Pascale, M.S. Gelli and L. Granieri, Minimal measures, one-dimensional currents and the Monge-Kantorovich probem. Calc. Var. Partial Differential Equations 27 (2006) 1–23. [CrossRef] [MathSciNet] [Google Scholar]
- K. Deimling, Nonlinear Functional Analysis. Springer, Berlin (1985). [Google Scholar]
- M.P. do Carmo, Differential Forms and Applications. Springer, Berlin (1994). [Google Scholar]
- G.H. Hardy and E.M. Wright, An Introduction to the Theory of Numbers. Oxford (1980). [Google Scholar]
- D. Massart, Stable norms of surfaces: local structure of the unit ball at rational directions. GAFA 7 (1997) 996–1010. [CrossRef] [Google Scholar]
- D. Massart, On Aubry sets and Mather's action functional. Israel J. Math. 134 (2003) 157–171. [CrossRef] [MathSciNet] [Google Scholar]
- J.N. Mather, Differentiability of the minimal average action as a function of the rotation number. Bol. Soc. Bras. Mat. 21 (1990) 59–70. [CrossRef] [Google Scholar]
- J.N. Mather, Action minimizing invariant measures for positive-definite Lagrangian systems. Math. Zeit. 207 (1991) 169–207. [Google Scholar]
- J.N. Mather, Variational construction of connecting orbits. Ann. Inst. Fourier 43 (1993) 1349–1386. [Google Scholar]
- J. Moser, Minimal solutions of variational problems on a torus. Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1989) 229–272. [Google Scholar]
- O. Osuna, Vertices of Mather's beta function. Ergodic Theory Dynam. Systems 25 (2005) 949–955. [CrossRef] [MathSciNet] [Google Scholar]
- P.H. Rabinowitz and E. Stredulinsky, Mixed states for an Allen-Cahn type equation. Comm. Pure Appl. Math. 56 (2003) 1078–1134. [Google Scholar]
- W. Senn, Strikte Konvexität für Variationsprobleme auf dem n-dimensionalen Torus. Manuscripta Math. 71 (1991) 45–65. [CrossRef] [MathSciNet] [Google Scholar]
- W. Senn, Differentiability properties of the minimal average action. Calc. Var. Partial Differential Equations 3 (1995) 343–384. [CrossRef] [MathSciNet] [Google Scholar]
- W. Senn, Equilibrium form of crystals and the stable norm. Z. angew. Math. Phys. 49 (1998) 919–933. [CrossRef] [MathSciNet] [Google Scholar]
- J.E. Taylor, Crystalline variational problems. BAMS 84 (1978) 568–588. [Google Scholar]
- M.E. Taylor, Partial Differential Equations, Basic Theory Springer, Berlin (1996). [Google Scholar]
- N. Wiener, The ergodic theorem. Duke Math. J 5 (1939) 1–18. [CrossRef] [MathSciNet] [Google Scholar]
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