Regularity of optimal sets for some functional involving eigenvalues of an operator in divergence form

2020/01/17 by Trey, Baptiste · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2001.06504

Abstract

In this paper we consider minimizers of the functional min \ λ₁(Ω)+⋯+λ_k(Ω) + Λ|Ω|, : Ω⊂ D open \ where D⊂ℝ^d is a bounded open set and where 0d^∗, for some d^∗∈\5,6,7\.

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• Vectorial Bernoulli Problems and Free Boundary Systems

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