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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.
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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