Revista Matemática Iberoamericana
Full-Text PDF (254 KB) | List online-first RMI articles | RMI summary
Almgren’s frequency formula for an extension problem related to the anisotropic fractional LaplacianRaimundo Leitão (1) Universidade Federal do Ceará, Fortaleza, Brazil
We consider the anisotropic version of an extension problem studied by Caffarelli and Silvestre. We present the anisotropic fractional Laplacian and prove the Almgren’s frequency formula obtained by Caffarelli and Silvestre for the anisotropic case.
Keywords: Degenerate elliptic equations, fractional Laplacian, anisotropy
Leitão Raimundo: Almgren’s frequency formula for an extension problem related to the anisotropic fractional Laplacian. Rev. Mat. Iberoam. Electronically published on December 17, 2019. doi: 10.4171/rmi/1141 (to appear in print)