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In this paper we study the limit as → ∞ of minimizers of the
fractional
-norms. In particular, we
prove that the limit satisfies a non-local and non-linear equation. We also prove the
existence and uniqueness of solutions of the equation. Furthermore, we prove the existence
of solutions in general for the corresponding inhomogeneous equation. By making strong use
of the barriers in this construction, we obtain some regularity results....
In this paper we study the limit as → ∞ of minimizers of the
fractional
-norms. In particular, we
prove that the limit satisfies a non-local and non-linear equation. We also prove the
existence and uniqueness of solutions of the equation. Furthermore, we prove the existence
of solutions in general for the corresponding inhomogeneous equation. By making strong use
of the barriers in this construction, we obtain some regularity results....
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