Publicado

1993-01-01

Inequalities for Jacobians: interpolation techniques

Palabras clave:

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

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Autores/as

  • 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.

Licencia

Derechos de autor 1993 Revista Colombiana de Matemáticas

Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.