2014/12/16 by Nicola Soave, Enrico Valdinoci, Soave, Nicola +1 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.1412.5074
openalex publication_date 2014/12/16 · openalex created_date 2022/09/29 · openalex updated_date 2026/07/28
We consider a fractional elliptic equation in an unbounded set with both\nDirichlet and fractional normal derivative datum prescribed. We prove that the\ndomain and the solution are necessarily radially symmetric.\n The extension of the result in bounded non-convex regions is also studied, as\nwell as the radial symmetry of the solution when the set is a priori supposed\nto be rotationally symmetric.\n