Existence and uniqueness are established for absolute minimizers of the supremal functional given by the L^∞ norm of the fractional Laplacian, with the minimizer satisfying a fractional PDE involving an s-harmonic measure.
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An $L^\infty$-variational problem involving the Fractional Laplacian
Existence and uniqueness are established for absolute minimizers of the supremal functional given by the L^∞ norm of the fractional Laplacian, with the minimizer satisfying a fractional PDE involving an s-harmonic measure.