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On the Robin function for the Fractional Laplacian on symmetric domains
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math.AP
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fractionalfunctionlaplacianrobinworkassumptionsclassicalconcerning
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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 $\Omega$. This work extends to the fractional setting the results of M. Grossi concerning the classical Laplace operator.
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