Singularities and rank one properties of Hessian measures

Author:

Aviles Patricio,Giga Yoshikazu

Publisher

Duke University Press

Subject

General Mathematics

Reference20 articles.

1. [1] V. I. Arnold, Singularities of systems of rays, Russian Math. Surveys 38 (1983), no. 2, 87–176, transl. of Uspehi M. N.

2. [2] P. Aviles and Y. Giga, A mathematical problem related to the physical theory of liquid crystal configurations, Miniconference on geometry and partial differential equations, 2 (Canberra, 1986) eds. L. Simon and J. Hutchinson, Proc. Centre Math. Anal. Austral. Nat. Univ., vol. 12, Austral. Nat. Univ., Canberra, 1987, pp. 1–16.

3. [3] G. Dal Maso, Integral representation on $\rm BV(\Omega )$ of $\Gamma$-limits of variational integrals, Manuscripta Math. 30 (1979/80), no. 4, 387–416.

4. [4] E. De Giorgi, Nuovi teoremi relativi alle misure $(r-1)$-dimensionali in uno spazio ad $r$ dimensioni, Ricerche Mat. 4 (1955), 95–113.

5. [5] E. De Giorgi, L. Ambrosio, and G. Buttazzo, Integral representation and relaxation for functionals defined on measures, Preprint.

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