Mean oscillation gradient estimates for elliptic systems in divergence form with VMO coefficients

Mean oscillation gradient estimates for elliptic systems in divergence form with VMO coefficients

We consider gradient estimates for H1 solutions of linear elliptic systems in divergence form ∂α(Aαβij∂βuj)=0. It is known that the Dini continuity of coefficient matrix A=(Aαβij) is essential for the differentiability of solutions. We prove the following results: (a) If A satisfies a condition sli...

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Номзүйн дэлгэрэнгүй
Үндсэн зохиолч:	Nguyen, L
Формат:	Journal article
Хэл сонгох:	English
Хэвлэсэн:	Springer 2023

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