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- W2923264169 abstract "In this paper, we show that $W^{1,p}$ $(1leq p<infty)$ weak solutions to divergence form elliptic systems are Lipschitz and piecewise $C^{1}$ provided that the leading coefficients and data are of piecewise Dini mean oscillation, the lower order coefficients are bounded, and interfacial boundaries are $C^{1,text{Dini}}$. This extends a result of Li and Nirenberg (textit{Comm. Pure Appl. Math.} textbf{56} (2003), 892-925). Moreover, under a stronger assumption on the piecewise $L^{1}$-mean oscillation of the leading coefficients, we derive a global weak type-(1,1) estimate with respect to $A_{1}$ Muckenhoupt weights for the elliptic systems without lower order terms." @default.
- W2923264169 created "2019-04-01" @default.
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- W2923264169 date "2019-03-23" @default.
- W2923264169 modified "2023-09-25" @default.
- W2923264169 title "Gradient estimates for divergence form elliptic systems arising from composite material" @default.
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- W2923264169 doi "https://doi.org/10.48550/arxiv.1903.09914" @default.
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