Nonlocal minimal surfaces contained in a half-space are hyperplanes in every dimension.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 2verdicts
UNVERDICTED 2representative citing papers
Proves equi-coercivity and Γ-convergence of the s-mass for codim-2 currents and shows equivalence between prescribed-Jacobian and weak-linking formulations, with singular-set dimension bounds for minimizers.
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A half-space theorem for nonlocal minimal surfaces
Nonlocal minimal surfaces contained in a half-space are hyperplanes in every dimension.
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Another look at a notion of fractional mass in codimension two
Proves equi-coercivity and Γ-convergence of the s-mass for codim-2 currents and shows equivalence between prescribed-Jacobian and weak-linking formulations, with singular-set dimension bounds for minimizers.