Article ID Journal Published Year Pages File Type
4604308 Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2013 19 Pages PDF
Abstract
We consider spectral optimization problems with internal inclusion constraints, of the formmin{λk(Ω):D⊂Ω⊂Rd,|Ω|=m}, where the set D is fixed, possibly unbounded, and λk is the k-th eigenvalue of the Dirichlet Laplacian on Ω. We analyze the existence of a solution and its qualitative properties, and rise some open questions.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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