For 0<p<1, minimizers of the superlinear Alt-Phillips system have optimal C^{1,κ−1} regularity, and flat free boundaries are C^{1,α}, analytic for minimizers.
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The free boundary for a superlinear system
For 0<p<1, minimizers of the superlinear Alt-Phillips system have optimal C^{1,κ−1} regularity, and flat free boundaries are C^{1,α}, analytic for minimizers.