Abstract
By a maximum principle we obtain radial symmetry of domain and weak solution to div(|Du|p−2Du)=0 on a starshaped ring, Ω0\\Ω1inRn, with the overdetermined boundary conditionsu→1 and |Du|→c1uniformly a.e. asx→∂Ω1;u→0 and |Du|→c0uniformly a.e. asx→∂Ω0;c1>c0>0; 1<p<∞;p≠n.
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