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 (Adv Calc Var 8:321–336;2015) and further developed by Comi and Stefani (J Funct Anal 277:3373–3435;2019).
A Survey on the Div-Curl Lemma and Some Extensions to Fractional Sobolev Spaces
Caponi, Maicol
2026-01-01
Abstract
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 (Adv Calc Var 8:321–336;2015) and further developed by Comi and Stefani (J Funct Anal 277:3373–3435;2019).File in questo prodotto:
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