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arXiv · 1512.05706

Lower semicontinuity for an integral functional in BV

Jan Kristensen·Panu Lahti
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Abstract

We prove a lower semicontinuity result for a functional of linear growth initially defined by \[ \int_ΩF\left(\frac{dDu}{dμ}\right)\,dμ\] for $u\in BV(Ω;\mathbb{R}^N)$ with $Du\ll μ$. The positive Radon measure $μ$ is only assumed to satisfy $\mathcal L^n\ll μ$.

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Jan Kristensen, Panu Lahti. 2015-12-17. Lower semicontinuity for an integral functional in BV. https://arxiv.org/abs/1512.05706

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