Inequalities for Jacobians: interpolation techniques
Keywords:
Integrability properties, Jacobians of maps, orientation preservatives, variational problems, elasticity theory, open problems, interpolation theor (es)Downloads
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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Copyright (c) 1993 Revista Colombiana de Matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.