Existence of a solution to a coupled elliptic system with a Signorini condition (Q1575798)
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scientific article; zbMATH DE number 1493591
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a solution to a coupled elliptic system with a Signorini condition |
scientific article; zbMATH DE number 1493591 |
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Existence of a solution to a coupled elliptic system with a Signorini condition (English)
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21 August 2000
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The existence of a solution to an elliptic system arising in electrochemistry is proven. The domain \(\Omega\) consists of two rectangles arranged in an \(L\)-shape. There are several boundary portions and interfaces on which different conditions are imposed: no-flux (Neumann) conditions, Dirichlet conditions and in particular, Signorini conditions. The functions sought are just harmonic. The existence is proven by application of Schauder's fixed point theorem.
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\(L\)-shape domain
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existence
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electrochemistry
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Signorini conditions
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Schauder's fixed point theorem
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