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· 2025 · arXiv 2502.18192

2 Pith papers cite this work. Polarity classification is still indexing.

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Uniqueness of the blow-up for some Alt-Phillips cones

math.AP · 2026-06-15 · unverdicted · novelty 7.0

Uniqueness of blow-ups with sharp convergence is established for Alt-Phillips cones via new logarithmic epiperimetric inequalities, yielding free-boundary uniqueness in low dimensions and a minimality characterization for the radial cone.

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  • Uniqueness of the blow-up for some Alt-Phillips cones math.AP · 2026-06-15 · unverdicted · none · ref 43

    Uniqueness of blow-ups with sharp convergence is established for Alt-Phillips cones via new logarithmic epiperimetric inequalities, yielding free-boundary uniqueness in low dimensions and a minimality characterization for the radial cone.

  • Classification of blow-ups for the Alt--Phillips problem in three dimensions math.AP · 2026-05-30 · unverdicted · none · ref 19

    Proves a flatness theorem for classical stable homogeneous solutions of the gamma-Alt-Phillips free boundary problem in 3D for 0 < gamma <= 2/3, implying full regularity of the free boundary for minimizers.