Shape derivatives for minima of integral functionals
نویسندگان
چکیده
منابع مشابه
Shape derivatives for minima of integral functionals
For ⌦ varying among open bounded sets in Rn with a Lipschitz boundary @⌦, we consider shape functionals J(⌦) defined as the infimum over a Sobolev space of an integral energy of the kind R ⌦[f(ru) + g(u)], under Dirichlet or Neumann conditions on @⌦. Under fairly weak assumptions on the integrands f and g, we prove that, when a given domain ⌦ is deformed into a one-parameter family of domains ⌦...
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ژورنال
عنوان ژورنال: Mathematical Programming
سال: 2013
ISSN: 0025-5610,1436-4646
DOI: 10.1007/s10107-013-0712-6