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Optimal boundary holes for the Sobolev trace constant
Optimal boundary holes the Sobolev trace constant
2010/11/18
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient $\|u\|_{W^{1,p}(\Omega)}^p / \|u\|_{L^q(\partial\Omega)}^p$ among functions that vanish in a set contained on the b...