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Palombaro, Mariapia (2010)
Publisher: Walter de Gruyter GmbH
Languages: English
Types: Article
Subjects: QA299
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • [1] Y. Brenier, Hydrodynamic structure of the augmented Born-Infeld equations, Arch. Rat. Mech. Anal. 172:1 (2004), 65-91.
    • [2] N. Chaudhuri and S. Müller, Rank-one convexity implies quasi-convexity on certain hypersurfaces, Proc. Roy. Soc. Edinburgh Sect. A 133:6 (2003), 1263-1272.
    • [3] I. Fonseca and S. Müller, A-quasiconvexity, lower semicontinuity, and Young measures, SIAM J. Math. Anal. 30:6 (1999), 1355-1390.
    • [4] A. Garroni and V. Nesi, Rigidity and lack of rigidity for solenoidal matrix fields, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 460:2046 (2004), 1789-1806.
    • [5] J. Lee, P. F. X. Müller and S. Müller, Compensated compactness, separately convex functions and interpolatory estimates between Riesz transforms and Haar projections, Comm. PDE, accepted (2008). Preprint 7/2008, Max Planck Institute for Mathematics in the Sciences, Leipzig.
    • [6] S. Müller, Rank-one convexity implies quasiconvexity on diagonal matrices, Int. Math. Research Not. 20 (1999), 1087-1095.
    • [7] S. Müller and M. Palombaro, in preparation.
    • [8] M. Palombaro and V. P. Smyshlyaev, Relaxation of three solenoidal wells and characterization of extremal three-phase H -measures, Arch. Rat. Mech. Anal. 194:3 (2009), 775-822.
    • [9] V. Šverák, Rank-one convexity does not imply quasiconvexity, Proc. Roy. Soc. Edinburgh Sect. A 120:1-2 (1992), 185-189.
    • [10] L. Tartar, Compensated compactness and applications to partial differential equations, in: Nonlinear analysis and mechanics: Heriot-Watt Symposium IV, Pitman Research Notes in Mathematics 39, 136-212, Pitman, London, 1979.
    • [11] L. Tartar, Estimations fines des coefficients homogénéisés, in: Ennio De Giorgi's Colloquium (Paris 1983), ed. P. Kree, 168-187, Pitman, Boston, 1985.
    • Received June 22, 2009; revised February 4, 2010; accepted February 1, 2010.
    • Mariapia Palombaro, SISSA, Via Beirut 2-4, 34014 Trieste, Italy. E-mail:
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