On a minimization problem with a mass constraint involving a potential vanishing on two curves

Nelly André; Itai Shafrir

doi:10.1007/s11856-011-0134-1

On a minimization problem with a mass constraint involving a potential vanishing on two curves

Nelly André, Itai Shafrir

Mathematics

Technion - Israel Institute of Technology

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	97-124
Number of pages	28
Journal	Israel Journal of Mathematics
Volume	186
Issue number	1
DOIs	https://doi.org/10.1007/s11856-011-0134-1
State	Published - Nov 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-011-0134-1

Cite this

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title = "On a minimization problem with a mass constraint involving a potential vanishing on two curves",

abstract = "We study a singular perturbation type minimization problem with a mass constraint over a domain in ℝN, 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.",

author = "Nelly Andr{\'e} and Itai Shafrir",

note = "Funding Information: acknowledgment. Both authors were partially sponsored by the French– Israeli cooperation program through grant No. 3-4299. The second author (I.S.) acknowledges support by the Israel Science Foundation (grant no. 1279/08) and by the Steigman Research Fund.",

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On a minimization problem with a mass constraint involving a potential vanishing on two curves

Abstract

All Science Journal Classification (ASJC) codes

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