Variational problems with long-range interaction (Q1750302)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variational problems with long-range interaction |
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Variational problems with long-range interaction (English)
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18 May 2018
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The authors consider variational problems for Dirichlet's and Rayleigh's functionals, which describe continual densities generated by systems with a long-range repelling. The main results include proving the existence of a minimizer and its optimal interior regularity and the derivation of a free boundary condition (for the first problem) as well as the existence of weak solution supplied with the global optimal regularity, and a free boundary condition for the regular part (for the second problem).
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repelling inerations
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free boundary conditions
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variational problem
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minimization
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