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Award ID contains: 2054282

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  1. ; (, arXivorg)
    Free, publicly-accessible full text available March 17, 2026
  2. (, Matematica Contemporanea)
    Accepted Manuscript Full Text Available
  3. ; (, Nonlinear Differential Equations and Applications NoDEA)
    Full Text Available 
  4. ; (, Calculus of variations and partial differential equations)
    Accepted Manuscript Full Text Available
  5. ; (, arXivorg)
    Accepted Manuscript Full Text Available
  6. ; ; ; ; (, Discrete Mathematics)
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  7. ; ; ; ; (, arXivorg)
    Accepted Manuscript Full Text Available
  8. (, Springer International Publishing)
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  9. ; ; ; (, Forum of Mathematics, Sigma)
    Abstract We study the existence and structure of branch points in two-phase free boundary problems. More precisely, we construct a family of minimizers to an Alt–Caffarelli–Friedman-type functional whose free boundaries contain branch points in the strict interior of the domain. We also give an example showing that branch points in the free boundary of almost-minimizers of the same functional can have very little structure. This last example stands in contrast with recent results of De Philippis, Spolaor and Velichkov on the structure of branch points in the free boundary of stationary solutions. 
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