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Local boundedness of monotone bifunctions

✍ Scribed by Mohammad Hossein Alizadeh, Nicolas Hadjisavvas

Book ID: 113071130
Publisher: Springer US
Year: 2011
Tongue: English
Weight: 180 KB
Volume: 53
Category: Article
ISSN: 0925-5001
DOI: 10.1007/s10898-011-9677-2

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We prove that if a function u is locally integrable with its gradient also locally integrable on a connected open set ~, then its monotone decreasing rearrangement is locally absolutely continuous provided that gt can be approximated by a sequence of Lipchitz connected bounded open sets. C