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Creators/Authors contains: "Skorobogatova, Anna"

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  1. ; (, Nonlinear Analysis)
    Free, publicly-accessible full text available June 1, 2026
  2. ; ; ; (, Advanced Nonlinear Studies)
    Abstract In this paper, we establish the existence of a bounded, linear extension operator T : L 2 , p ( E ) → L 2 , p ( R 2 ) $$T :{L}^{2,p}\left(E\right)\to {L}^{2,p}\left({\mathbb{R}}^{2}\right)$$when 1 <p< 2 andEis a finite subset of R 2 $${\mathbb{R}}^{2}$$contained in a line. 
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    Free, publicly-accessible full text available April 1, 2026
  3. ; (, Ars inveniendi analytica)
    Free, publicly-accessible full text available January 1, 2026
  4. (, Communications on Pure and Applied Mathematics)
    Abstract We show that for an area minimizingm‐dimensional integral currentTof codimension at least two inside a sufficiently regular Riemannian manifold, the upper Minkowski dimension of the interior singular set is at most . This provides a strengthening of the existing ‐dimensional Hausdorff dimension bound due to Almgren and De Lellis & Spadaro. As a by‐product of the proof, we establish an improvement on the persistence of singularities along the sequence of center manifolds taken to approximateTalong blow‐up scales. 
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