منابع مشابه
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We consider certain subsets of the space of n × n matrices of the form K = ∪i=1SO(n)Ai, and we prove that for p > 1, q ≥ 1 and for connected Ω ′ ⊂⊂ Ω ⊂ IR, there exists positive constant a < 1 depending on n, p, q,Ω,Ω such that for ε = ‖dist(Du,K)‖ Lp(Ω) we have infR∈K ‖Du−R‖ p Lp(Ω′) ≤ Mε1/p provided u satisfies the inequality ‖D2u‖ Lq(Ω) ≤ aε1−q . Our main result holds whenever m = 2, and als...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1955
ISSN: 0018-2079
DOI: 10.32917/hmj/1556935346