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• W2004226582 abstract "This paper deals with the eigenvalue problem for the operator $L=-Delta -xcdot nabla $ with Dirichlet boundary conditions. We are interested in proving the existence of a set minimizing any eigenvalue $lambda_k$ of $L$ under a suitable measure constraint suggested by the structure of the operator. More precisely we prove that for any $c>0$ and $kin mathbb{N} $ the following minimization problem $$ minleft{lambda_k(Omega): > Omega >mbox{quasi-open} >mbox{set}, > int_Omega e^{|x|^2/2}dxle cright} $$ has a solution." @default.
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• W2004226582 date "2014-06-26" @default.
• W2004226582 modified "2023-09-25" @default.
• W2004226582 title "Existence of minimizers for eigenvalues of the Dirichlet-Laplacian with a drift" @default.
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