Inequalities for jacobians: interpolation techniques
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...
- Autores:
-
Milman, Mario
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 1993
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/43589
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/43589
http://bdigital.unal.edu.co/33687/
- Palabra clave:
- Integrability properties
Jacobians of maps
orientation preservatives
variational problems
elasticity theory
open problems
interpolation theor
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | 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. |
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