On lower semicontinuity and relaxation
Published online by Cambridge University Press: 12 July 2007
Abstract
Lower semicontinuity and relaxation results in BV are obtained for multiple integrals where the energy density f satisfies lower semicontinuity conditions with respect to (x, u) and is not subjected to coercivity hypotheses. These results call for methods recently developed in the calculus of variations.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 3 , June 2001 , pp. 519 - 565
- Copyright
- Copyright © Royal Society of Edinburgh 2001
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