A Duality Approach to the Fractional Laplacian with Measure Data
نویسندگان
چکیده
We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like (−∆)v = μ in R , with vanishing conditions at infinity. Here μ is a bounded Radon measure whose support is compactly contained in RN , N ≥ 2, and −(∆)s is the fractional Laplace operator of order s ∈ (1/2, 1).
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