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Defect of compactness in spaces of bounded variation
Adimurthi, Cyril Tintarev
Defect of compactness for non-compact imbeddings of Banach spaces can be expressed in the form of a profile decomposition. This paper extends the profile decomposition for Sobolev…
math.FA2014
On the Brezis-Lieb Lemma without pointwise convergence
Adimurthi, Cyril Tintarev
Brezis-Lieb lemma is a refinement of Fatou lemma providing an evaluation of the gap between the integral for a sequence and the integral for its pointwise limit. This note studies…