Lower semicontinuity for an integral functional in BV
We prove a lower semicontinuity result for a functional of linear growth initially defined by ∫ΩF(dDu/dμ)dμ for u∈BV(Ω;ℝ^N) with Du≪μ. The positive Radon measure μ is only assumed to satisfy L^n≪μ.
Main Authors: | , |
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Format: | Journal article |
Published: |
Springer Verlag
2016
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Summary: | We prove a lower semicontinuity result for a functional of linear growth initially defined by ∫ΩF(dDu/dμ)dμ for u∈BV(Ω;ℝ^N) with Du≪μ. The positive Radon measure μ is only assumed to satisfy L^n≪μ. |
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