摘要
Motivated by a recent work of Wang-Yang[19],we study the compactness of extremals[ug]for singular Hardy-Trudinger-Moser inequalities due to Hou[24].In particular,by the method of blow-up analysis,we conclude that,up to a subsequence,ug converges to an extremal in some sense asβtends to zero.
基金
supported by the Natural Science Foundation of China(12201234)
the Natural Science Foundation of Anhui Province of China(2008085MA07).
