Calculus of Variations and Geometric Measure Theory

M. Caponi

A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces

created by caponi on 12 Sep 2025
modified on 16 Sep 2025

[BibTeX]

Preprint

Inserted: 12 sep 2025
Last Updated: 16 sep 2025

Pages: 18
Year: 2025

ArXiv: 2509.11734 PDF

Abstract:

This survey is a chapter of a forthcoming book. This chapter recalls the classical formulation of the Div-Curl lemma along with its proof, and presents some possible generalizations in the fractional setting, within the framework of the Riesz fractional gradient and divergence introduced by Shieh and Spector (2015) and further developed by Comi and Stefani (2019).


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