On the Robin function for the Fractional Laplacian on symmetric domains

preprint2021arXivOpen access

Abstract

In this work we prove the non-degeneracy of the critical points of the Robin function for the Fractional Laplacian under symmetry and convexity assumptions on the domain ΩΩ. This work extends to the fractional setting the results of M. Grossi concerning the classical Laplace operator.

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