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- W3174736975 abstract "We consider Anzellotti-type almost minimizers for the thin obstacle (or Signorini) problem with zero thin obstacle and establish their $$C^{1,beta }$$ regularity on the either side of the thin manifold, the optimal growth away from the free boundary, the $$C^{1,gamma }$$ regularity of the regular part of the free boundary, as well as a structural theorem for the singular set. The analysis of the free boundary is based on a successful adaptation of energy methods such as a one-parameter family of Weiss-type monotonicity formulas, Almgren-type frequency formula, and the epiperimetric and logarithmic epiperimetric inequalities for the solutions of the thin obstacle problem." @default.
- W3174736975 created "2021-07-05" @default.
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- W3174736975 date "2021-06-25" @default.
- W3174736975 modified "2023-10-06" @default.
- W3174736975 title "Almost minimizers for the thin obstacle problem" @default.
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- W3174736975 doi "https://doi.org/10.1007/s00526-021-01986-8" @default.
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