On the porosity of the free boundary in the -obstacle problem
Samia ChallalYork University, Toronto, Canada
Abdeslem LyaghfouriThe Fields Institute for Research in Mathematical Sciences, Toronto, Canada
In this paper we consider the obstacle problem for the -Laplace operator. Assuming that is locally Lipschitz continuous, we establish the growth rate of the solution near the free boundary from which we deduce its porosity.
Cite this article
Samia Challal, Abdeslem Lyaghfouri, On the porosity of the free boundary in the -obstacle problem. Port. Math. 68 (2011), no. 1, pp. 109–123DOI 10.4171/PM/1883