On the Robin function for the Fractional Laplacian on symmetric domains

Alejandro Ortega

On the Robin function for the Fractional Laplacian on symmetric domains

Analysis of PDEs 2021-01-19 v1

Authors: Alejandro Ortega

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.

Keywords

robin function fractional laplacian symmetric domains critical points non-degeneracy

Cite

@article{arxiv.2101.06556,
  title  = {On the Robin function for the Fractional Laplacian on symmetric domains},
  author = {Alejandro Ortega},
  journal= {arXiv preprint arXiv:2101.06556},
  year   = {2021}
}

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