On minimax theory in two Hilbert spaces (Q1914776)
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scientific article; zbMATH DE number 894084
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On minimax theory in two Hilbert spaces |
scientific article; zbMATH DE number 894084 |
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On minimax theory in two Hilbert spaces (English)
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6 January 1997
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Summary: In this paper, we investigated the minimax of the bifunction \(J : H^1 (\Omega) \times V_2 \to R^m \times R^n\), such that \(J(v_1, v_2) = (({1 \over 2} a(v_1, v_1) - L(v_1)), v_2)\) where a \((.,.)\) is a finite symmetric bilinear bicontinuous coercive form on the Hilbert space \(H^1 (\Omega)\), \(L\) belongs to the dual of \(H^1 (\Omega)\), and \(V_2\) is also a Hilbert space. In order to obtain the minimax point we use Lagrangian functional.
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Hilbert spaces
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dual spaces
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minimization of functionals
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saddle point
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bicontinuous coercive form
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minimax point
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Lagrangian functional
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0.8999889
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0.89623475
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0.8932205
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