$Optimal rearrangement problem and normalized obstacle problem in the fractional setting$
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Optimal rearrangement problem and normalized obstacle problem in the fractional setting

We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (−∆) s , 0 < s < 1, and the Gagliardo seminorm |u|s. We prove the existence of the unique minimizer, analyze its properties as well as derive the non-local and highly non-linear PDE it satis es...

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Bibliographic Details
Main Authors:	Bonder, Julián Fernández, Cheng, Zhiwei, Mikayelyan, Hayk
Format:	Article
Language:	English
Published:	2020
Subjects:	Fractional partial differential equations; Optimization problems; Obstacle problem; 35R11; 35J60
Online Access:	https://eprints.nottingham.ac.uk/60945/

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