Fractional Laplacian Phase Transitions and Boundary Reactions: a Geometric Inequality and a Symmetry Result Yannick Sire and Enrico Valdinoci
نویسنده
چکیده
We deal with symmetry properties for solutions of nonlocal equations of the type (−∆) s v = f (v) in R n , where s ∈ (0, 1) and the operator (−∆) s is the so-called fractional Laplacian. The study of this nonlocal equation is made via a careful analysis of the following degenerate elliptic equation −div (x α ∇u) = 0 on R
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