JournalsifbVol. 13, No. 2pp. 191–222

On the Hölder regularity of the landscape function

  • Alessio Brancolini

    Politecnico di Bari, Italy

  • Sergio Solimini

    Politecnico di Bari, Italy
On the Hölder regularity of the landscape function cover
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Abstract

We study the Hölder regularity of the landscape function introduced by Santambrogio in [S]. We develop a new technique which both extends Santambrogio’s result to lower Ahlfors regular measures in general dimension h and simplifies its proof.

Cite this article

Alessio Brancolini, Sergio Solimini, On the Hölder regularity of the landscape function. Interfaces Free Bound. 13 (2011), no. 2, pp. 191–222

DOI 10.4171/IFB/254