Caffarelli, Luis; Mellet, Antoine Random homogenization of fractional obstacle problems. (English) Zbl 1156.74359 Netw. Heterog. Media 3, No. 3, 523-554 (2008). Summary: We use a characterization of the fractional Laplacian as a Dirichlet to Neumann operator for an appropriate differential equation to study its obstacle problem in perforated domains. Cited in 1 ReviewCited in 13 Documents MSC: 74Q05 Homogenization in equilibrium problems of solid mechanics 35R35 Free boundary problems for PDEs Keywords:homogenization; obstacle problem; fractional Laplace PDFBibTeX XMLCite \textit{L. Caffarelli} and \textit{A. Mellet}, Netw. Heterog. Media 3, No. 3, 523--554 (2008; Zbl 1156.74359) Full Text: DOI arXiv