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A minimization problem with free boundary related to a cooperative system

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We study the minimum problem for the functional integral(Omega)(vertical bar del u vertical bar(2) + Q(2) chi({vertical bar u vertical bar>0}))dx with the constraint u(i) >= 0 for i =… Click to show full abstract

We study the minimum problem for the functional integral(Omega)(vertical bar del u vertical bar(2) + Q(2) chi({vertical bar u vertical bar>0}))dx with the constraint u(i) >= 0 for i = 1,... , ...

Keywords: minimization problem; vertical bar; problem free; problem; free boundary

Journal Title: Duke Mathematical Journal
Year Published: 2018

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