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...
Hlavní autor: | |
---|---|
Médium: | Journal article |
Jazyk: | English |
Vydáno: |
Springer
2023
|