Published

1993-01-01

Inequalities for Jacobians: interpolation techniques

Keywords:

Integrability properties, Jacobians of maps, orientation preservatives, variational problems, elasticity theory, open problems, interpolation theor (es)

Authors

  • Mario Milman Institute for Advances Studies, Princeton

Recently new and surprising integrability properties were discovered for the Jacobians of orientation preserving maps. These results have interesting applications to variational problems in elasticity theory, compensated compactness and other areas. We review some of the main results and present new estimates that resolve some open problems in the area. Our methods are based on techniques from Interpolation theory.

How to Cite

APA

Milman, M. (1993). Inequalities for Jacobians: interpolation techniques. Revista Colombiana de Matemáticas, 27(1-2), 67–81. https://revistas.unal.edu.co/index.php/recolma/article/view/33576

ACM

[1]
Milman, M. 1993. Inequalities for Jacobians: interpolation techniques. Revista Colombiana de Matemáticas. 27, 1-2 (Jan. 1993), 67–81.

ACS

(1)
Milman, M. Inequalities for Jacobians: interpolation techniques. rev.colomb.mat 1993, 27, 67-81.

ABNT

MILMAN, M. Inequalities for Jacobians: interpolation techniques. Revista Colombiana de Matemáticas, [S. l.], v. 27, n. 1-2, p. 67–81, 1993. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33576. Acesso em: 22 jan. 2025.

Chicago

Milman, Mario. 1993. “Inequalities for Jacobians: interpolation techniques”. Revista Colombiana De Matemáticas 27 (1-2):67-81. https://revistas.unal.edu.co/index.php/recolma/article/view/33576.

Harvard

Milman, M. (1993) “Inequalities for Jacobians: interpolation techniques”, Revista Colombiana de Matemáticas, 27(1-2), pp. 67–81. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33576 (Accessed: 22 January 2025).

IEEE

[1]
M. Milman, “Inequalities for Jacobians: interpolation techniques”, rev.colomb.mat, vol. 27, no. 1-2, pp. 67–81, Jan. 1993.

MLA

Milman, M. “Inequalities for Jacobians: interpolation techniques”. Revista Colombiana de Matemáticas, vol. 27, no. 1-2, Jan. 1993, pp. 67-81, https://revistas.unal.edu.co/index.php/recolma/article/view/33576.

Turabian

Milman, Mario. “Inequalities for Jacobians: interpolation techniques”. Revista Colombiana de Matemáticas 27, no. 1-2 (January 1, 1993): 67–81. Accessed January 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33576.

Vancouver

1.
Milman M. Inequalities for Jacobians: interpolation techniques. rev.colomb.mat [Internet]. 1993 Jan. 1 [cited 2025 Jan. 22];27(1-2):67-81. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33576

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