Calculus of Variations and Geometric Measure Theory
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A. Pinamonti - M. Squassina - E. Vecchi

The Maz'ya-Shaposhnikova limit in the magnetic setting

created by pinamonti on 16 Oct 2016
modified on 22 Dec 2016

[BibTeX]

Accepted Paper

Inserted: 16 oct 2016
Last Updated: 22 dec 2016

Journal: Journal of Mathematical Analysis and Applications
Year: 2017

Abstract:

We prove a magnetic version of the Maz'ya-Shaposhnikova singular limit of nonlocal norms with vanishing fractional parameter. This complements a general convergence result recently obtained by authors when the parameter approaches one.


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