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math.AP2017
The Caccioppoli Ultrafunctions
Vieri Benci, Luigi Carlo Berselli, Carlo Romano Grisanti
Ultrafunctions are a particular class of functions defined on a hyperreal field . They have been introduced and studied in some previous works.…
math.AP2017
Singular p-Laplacian parabolic system in exterior domains: higher regularity of solutions and related properties of extinction and asymptotic behavior in time
Francesca Crispo, Carlo Romano Grisanti, Paolo Maremonti
We consider the IBVP in exterior domains for the p-Laplacian parabolic system. We prove regularity up to the boundary, extinction properties for p \in ( 2n/(n+2) , 2n/(n+1) ) and e…