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. 191–222DOI 10.4171/IFB/254