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math.AP2025
Pohozaev-like identity for the regional fractional laplacian
Sidy M. Djitte
We establish a new integration by parts formula for the regional fractional laplacian in bounded open sets of class . As a direct application, we prove that weak so…
math.AP2025
Shape derivative approach to fractional overdetermined problems
Sidy M. Djitte, Ignace A. Minlend
We use shape derivative approach to prove that balls are the only convex and regular domains in which the fractional overdetermined problem \begin{equation*} \left\{\begi…