Journal title
Calculus of Variations and Partial Differential Equations
DOI
10.1007/s00526-009-0250-5
Issue
1
Volume
37
Last updated
2024-03-15T12:32:29.633+00:00
Page
29-62
Abstract
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 unbounded below. © Springer-Verlag 2009.
Symplectic ID
12196
Submitted to ORA
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Publication type
Journal Article
Publication date
01 Nov 2009