Sharp stability results for almost conformal maps in even dimensions
نویسندگان
چکیده
منابع مشابه
Sharp Stability Results for Almost Conformal Maps in Even Dimensions
Let ~ C R n and n > 4 be even. We show that if a sequence {uJ } in W l'n/2 (f2; R n) is almost conformal in the sense that dist (Vu j , R+ SO(n) ) converges strongly to 0 in L n/2 and i f u j converges weakly to u in W 1,n/2, then u is conformal and VuJ ~ Vu strongly in Lqoc for all 1 < q < n/2. It is known that this conclusion fails i f n~2 is replaced by any smaller exponent p. We also prove ...
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 1999
ISSN: 1050-6926,1559-002X
DOI: 10.1007/bf02921978