Optimal regularity at the free boundary for the infinity obstacle problem

Enrique Jordá; Eduardo V. Teixeira; José Miguel Urbano

doi:10.4171/ifb/347

JournalsifbVol. 17, No. 3pp. 381–398

Optimal regularity at the free boundary for the infinity obstacle problem

Enrique Jordá
Universitat Politècnica de València, Alcoy (Alicante), Spain
Eduardo V. Teixeira
Universidade Federal do Ceará, Fortaleza, Brazil
José Miguel Urbano
Universidade de Coimbra, Portugal

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Abstract

This paper deals with the obstacle problem for the infinity Laplacian. The main results are a characterization of the solution through comparison with cones that lie above the obstacle and the sharp $C^{1, \frac{1}{3}}$ -regularity of the solutions at the free boundary.

Cite this article

Enrique Jordá, Eduardo V. Teixeira, José Miguel Urbano, Optimal regularity at the free boundary for the infinity obstacle problem. Interfaces Free Bound. 17 (2015), no. 3, pp. 381–398

DOI 10.4171/IFB/347