Relaxation of signed integral functionals in BV
For integral functionals initially defined for u ∈ W1,1 (Ω;ℝm) by we establish strict continuity and relaxation results in BV (Ω;ℝm). The results cover the case of signed continuous integrands f: ℝm×d → ℝ of linear growth at infinity. In particular, it is not excluded that the integrands are unbound...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2010
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