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Regularity of the obstacle problem for a fractional power of the laplace operator
Abstract Given a function φ and s ∈ (0, 1), we will study the solutions of the following obstacle problem: u ≥ φ in ℝ n , (−▵) s u ≥ 0 in ℝ n , (−▵) s u ( x ) = 0 for those x such that u …