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math.AP2023
A few representation formulas for solutions of fractional Laplace equations
Sidy M. Djitte, Franck Sueur
This paper is devoted to the Laplacian operator of fractional order in several dimensions. We first establish a representation formula for the partial derivatives of t…
math.AP2023
Fractional Hardy-Rellich inequalities via integration by parts
Nicola De Nitti, Sidy Moctar Djitte
We prove a fractional Hardy-Rellich inequality with an explicit constant in bounded domains of class . The strategy of the proof generalizes an approach pioneered by E. Mi…