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math.AP2010★ 4 cited
Optimal sets for a class of minimization problems with convex constraints
Chiara Bianchini, Antoine Henrot
We look for the minimizers of the functional $\jla{\la}(\oo)=\la|\oo|-P(\oo)$ among planar convex domains constrained to lie into a given ring. We prove that, according to the valu…
math.AP2010
A Bernoulli problem with non constant gradient boundary constraint
Chiara Bianchini
We present in this paper a result about existence and convexity of solutions to a free boundary problem of Bernoulli type, with non constant gradient boundary constraint depending…