On the Robin function for the Fractional Laplacian on symmetric domains
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2021
- DOI:
- 10.48550/arXiv.2101.06556
- arXiv:
- arXiv:2101.06556
- Bibcode:
- 2021arXiv210106556O
- Keywords:
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- Mathematics - Analysis of PDEs;
- 35J08;
- 35R11 (Primary);
- 35A08;
- 35J05 (Secondary)