Uniqueness of minimizers of weighted least gradient problems arising in conductivity imaging

Amir Moradifam, Adrian Nachman, Alexandru Tamasan

We prove uniqueness for minimizers of the weighted least gradient problem \[\inf \left\lbrace \int_Ω a|Du|: \ \ u\in BV(Ω), \ \ u|_{\partial Ω}=f \right\rbrace.\] The weight functi…