Optimal regularity for the Signorini problem

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dc.creatorGuillen, Nestor
dc.date2009-01-05
dc.date.accessioned2026-07-07T12:24:33Z
dc.date.available2026-07-07T12:24:33Z
dc.descriptionWe prove under general assumptions that solutions of the thin obstacle or Signorini problem in any space dimension achieve the optimal regularity $C^{1,1/2}$. This improves the known optimal regularity results by allowing the thin obstacle to be defined in an arbitrary $C^{1,β}$ hypersurface, $β>1/2$, additionally, our proof covers any linear elliptic operator in divergence form with smooth coefficients. The main ingredients of the proof are a version of Almgren's monotonicity formula and the optimal regularity of global solutions.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0901.0421
dc.identifierhttp://arxiv.org/abs/0901.0421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/214361
dc.subjectAnalysis of PDEs
dc.subject35R35,74G40
dc.titleOptimal regularity for the Signorini problem
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