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Creators/Authors contains: "Jeon, Seongmin"

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  1. Free, publicly-accessible full text available December 1, 2025
  2. null (Ed.)
  3. In this paper we introduce a notion of almost minimizers for certain variational problems governed by the fractional Laplacian, with the help of the Caffarelli-Silvestre extension. In particular, we study almost fractional harmonic functions and almost minimizers for the fractional obstacle problem with zero obstacle. We show that for a certain range of parameters, almost minimizers are almost Lipschitz or C1,β-regular. 
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