Prescribed singularities with weights
نویسنده
چکیده
We find the minimal weighted energy ∫ Ω a(x)∣Du∣ of maps u ∶ Ω ⊂ Rm+n → S with prescribed singularities, where a(⋅) is a continuous positive weight. Our result extends previous ones of H. Brezis, J-M. Coron and E.H. Lieb (1986), G. Alberti, S. Baldo and G. Orlandi (2003), and V. Millot (2005).
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تاریخ انتشار 2013