Revista Matemática Iberoamericana


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Published online first: 2019-12-17
DOI: 10.4171/rmi/1141

Almgren’s frequency formula for an extension problem related to the anisotropic fractional Laplacian

Raimundo Leitão[1]

(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)