Ontology type: schema:ScholarlyArticle Open Access: True
2011-03
AUTHORSLuigi Ambrosio, Guido De Philippis, Luca Martinazzi
ABSTRACTGiven open, connected and with Lipschitz boundary, and , we consider the functionalwhere is an arbitrary measurable set. We prove that the functionals are equi-coercive in as and thatwhere P(E, Ω) denotes the perimeter of E in Ω in the sense of De Giorgi. We also prove that as limit points of local minimizers of are local minimizers of P(·, Ω). More... »
PAGES377-403
http://scigraph.springernature.com/pub.10.1007/s00229-010-0399-4
DOIhttp://dx.doi.org/10.1007/s00229-010-0399-4
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