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Differential inclusions for differential forms |
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| Authors: | Saugata Bandyopadhyay Ana Cristina Barroso Bernard Dacorogna José Matias |
| Affiliation: | (1) Section de Mathématiques, EPFL, Station 8, 1015 Lausanne, Switzerland;(2) CMAF, Universidade de Lisboa, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal;(3) Departamento de Matemática, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal;(4) Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal |
| Abstract: | We study necessary and sufficient conditions for the existence of solutions in  of the problem  where  is a given set. Special attention is given to the case of the curl (i.e. k = 1), particularly in dimension 3. Some applications to the calculus of variations are also stated. |
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