Interior regularity, optimal growth, and local (N-1)-rectifiability of free boundaries are established for sign-changing minimizers of the p-singular or p-degenerate quasilinear Alt-Phillips functional across the full parameter range.
C., and dos Prazeres, D.A two-phase quenching-type problem for the p−Laplacian.https://arxiv.org/abs/2504.11370(preprint)
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The two-phase Alt-Phillips problem for quasilinear operators
Interior regularity, optimal growth, and local (N-1)-rectifiability of free boundaries are established for sign-changing minimizers of the p-singular or p-degenerate quasilinear Alt-Phillips functional across the full parameter range.