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

  • Raimundo Leitão

    Universidade Federal do Ceará, Fortaleza, Brazil
Almgren’s frequency formula for an extension problem related to the anisotropic fractional Laplacian cover

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Abstract

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.

Cite this article

Raimundo Leitão, Almgren’s frequency formula for an extension problem related to the anisotropic fractional Laplacian. Rev. Mat. Iberoam. 36 (2020), no. 3, pp. 641–660

DOI 10.4171/RMI/1141