On a minimization problem with a mass constraint involving a potential vanishing on two curves |
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| Authors: | Nelly André Itai Shafrir |
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| Institution: | (1) Instituto de Matematica Pura e Aplicada, Estrada Dona Castorina 110, Jardim Botanico, Rio de Janeiro, Brazil;(2) Department of Mathematics, University of Avignon, 33, rue Louis Pasteur, 84000 Avignon, France; |
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| Abstract: | We study a singular perturbation type minimization problem with a mass constraint over a domain in ℝ
N
, involving a potential vanishing on two curves in the plane. We demonstrate how the behavior of the minimizers depends on
the geometry of the domain and, more precisely, on its isoperimetric profile. |
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| Keywords: | |
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