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Partial Differential Equations 8, 13 (1983), 1409–1454

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The two-phase Alt-Phillips problem for quasilinear operators

math.AP · 2026-04-06 · unverdicted · novelty 7.0

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.

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  • The two-phase Alt-Phillips problem for quasilinear operators math.AP · 2026-04-06 · unverdicted · none · ref 6

    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.