Sobolev imbedding theorems in borderline cases

Fusco, Nicola; Lions, Pierre; Sbordone, Carlo

doi:10.1090/S0002-9939-96-03136-X

Sobolev imbedding theorems in borderline cases
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by Nicola Fusco, Pierre Louis Lions and Carlo Sbordone PDF

Proc. Amer. Math. Soc. 124 (1996), 561-565 Request permission

Abstract:

An imbedding theorem is given for functions whose gradient belongs to a class slightly larger than $L^n(\Omega )$, $\Omega \subset \mathbb {R}^n$.

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