Loredana Caso

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with p ∈]1,+∞[. Suppose that Ω verifies suitable regularity assumptions. If p ≥ n, ai j ∈ L∞(Ω) (i, j = 1, . . . ,n), and the coefficients ai (i= 1, . . . ,n), a satisfy certain local summability conditions (with a > 0), then it is possible to obtain a uniqueness result for the problem (D) using a classical result of Alexandrov and Pucci (see [17] for the(More)
and Applied Analysis 3 In literature, several authors have considered different kinds of weighted spaces of Morrey type and their applications to the study of elliptic equations, both in the degenerate case and in the nondegenerate one see e.g., 9–11 . In this paper, given a weight ρ in a class of measurable functions G Ω see § 6 for its definition , we(More)
In this paper we study certain weighted Sobolev spaces defined on an open subset Ω of Rn (not necessarily bounded or regular) when the weight is a function related to the distance from a subset of ∂Ω . As an application, we prove boundedness and compactness results for operators in such weighted Sobolev spaces. c ⃝ 2012 Elsevier Inc. All rights reserved.
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