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Award ID contains: 1854344

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  1. ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract We prove the rigidity ofrectifiableboundaries with constantdistributionalmean curvature in the Brendle class of warped product manifolds (which includes important models in general relativity, like the de Sitter–Schwarzschild and Reissner–Nordstrom manifolds).As a corollary, we characterize limits of rectifiable boundaries whose mean curvatures converge, as distributions, to a constant.The latter result is new, and requires the full strength of distributional CMC-rigidity, even when one considers smooth boundaries whose mean curvature oscillations vanish in arbitrarily strong C k C^{k}-norms.Our method also establishes that rectifiable boundaries of sets of finite perimeter in the hyperbolic space with constant distributional mean curvature are finite unions of possibly mutually tangent geodesic spheres. 
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    Free, publicly-accessible full text available October 2, 2026
  2. ; ; (, Journal of Functional Analysis)
    Free, publicly-accessible full text available January 1, 2027
  3. ; (, Analysis & PDE)
    Full Text Available 
  4. ; ; (, Advances in Mathematics)
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  5. ; ; (, Communications on Pure and Applied Mathematics)
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  6. ; ; (, Archive for Rational Mechanics and Analysis)
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  7. ; ; (, Annales de l'Institut Henri Poincaré C, Analyse non linéaire)
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  8. ; (, Archive for Rational Mechanics and Analysis)
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