On the Robin function for the Fractional Laplacian on symmetric domains

Alejandro Ortega

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arXiv · 2101.06556

On the Robin function for the Fractional Laplacian on symmetric domains

Alejandro Ortega

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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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Alejandro Ortega. 2021-01-16. On the Robin function for the Fractional Laplacian on symmetric domains. https://arxiv.org/abs/2101.06556

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