TITLE

Optimal regularity for the Signorini problem

AUTHOR(S)
Guillen, Nestor
PUB. DATE
December 2009
SOURCE
Calculus of Variations & Partial Differential Equations;Dec2009, Vol. 36 Issue 4, p533
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We prove under general assumptions that solutions of the thin obstacle or Signorini problem in any space dimension achieve the optimal regularity C1,1/2. This improves the known optimal regularity results by allowing the thin obstacle to be defined in an arbitrary C1, 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.
ACCESSION #
44753950

 

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