1 November 2009
Calculus of Variations and Partial Differential Equations
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.
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