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math.AP2020
A solution to a slightly subcritical elliptic problem with non-power nonlinearity
Monica Clapp, Rosa Pardo, Angela Pistoia +1
We consider a slightly subcritical Dirichlet problem with a non-power nonlinearity in a bounded smooth domain. For this problem, standard compact embeddings cannot be used to guara…
math.AP2020
Fractional Laplacians on ellipsoids
Nicola Abatangelo, Sven Jarohs, Alberto Saldaña
We show explicit formulas for the evaluation of (possibly higher-order) fractional Laplacians of some functions supported on ellipsoids. In particular, we derive the explicit expre…