Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces
نویسندگان
چکیده
منابع مشابه
On the distributional Jacobian of maps from SN into SN in fractional Sobolev and Hölder spaces
H. Brezis and L. Nirenberg proved that if (gk) ⊂ C(S , S ) and g ∈ C(S , S ) (N ≥ 1) are such that gk → g in BMO(S ), then deg gk → deg g. On the other hand, if g ∈ C(S , S ), then Kronecker’s formula asserts that deg g = 1 |SN | ∫ SN det(∇g) dσ. Consequently, ∫ SN det(∇gk) dσ converges to ∫ SN det(∇g) dσ provided gk → g in BMO(S N ). In the same spirit, we consider the quantity J(g, ψ) := ∫ SN...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2020
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2019.108312