Title of article :
On the Non-degeneracy of the Robin Function for the Fractional Laplacian on Symmetric Domains
Author/Authors :
Ortega ، Alejandro Dpto. de Matemáticas Fundamentales - Facultad de Ciencias - Universidad Nacional de Educación a Distancia (UNED)
Abstract :
In this work we prove, under symmetry and convexity assumptions on the domain Ω, the non-degeneracy at zero of the Hessian matrix of the Robin function for the spectral fractional Laplacian. This work extends to the fractional setting the results of M. Grossi concerning the classical Laplace operator.
Keywords :
Fractional Laplacian , Non , local elliptic problems , Green function , Robin function
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
