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math.AP2020
Friedrichs type inequalities in arbitrary domains
Andrea Cianchi, Vladimir Maz'ya
First and second-order inequalities of Friedrichs type for Sobolev functions in arbitrary domains are offered. The relevant inequalities involve optimal norms and constants that ar…
math.AP2020
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms
Dominic Breit, Andrea Cianchi
A unified approach to embedding theorems for Sobolev type spaces of vector-valued functions, defined via their symmetric gradient, is proposed. The Sobolev spaces in question are b…