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Bounds for elliptic operators in weighted spaces. (English) Zbl 1162.35353

Summary: Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a suitable weight function.

MSC:

35J25 Boundary value problems for second-order elliptic equations
35B45 A priori estimates in context of PDEs
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References:

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