On solvability of operator inclusions: application to elliptic problems with the Neumann boundary condition (Q2574228)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solvability of operator inclusions: application to elliptic problems with the Neumann boundary condition |
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On solvability of operator inclusions: application to elliptic problems with the Neumann boundary condition (English)
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18 November 2005
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The author studies the surjectivity of set-valued mappings using a modification of the ``acute-angle lemma'' (or the ``equilibrium theorem''), a result which allows one to weaken the coercivity condition. Some applications to differential equations (inclusions) with Neumann boundary conditions are considered on Sobolev spaces \(W_p^1(\Omega )\) in which operators are used that are not coercive in the classical sense.
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coercivity
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surjectivity
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infinity of an argument
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acute angle condition
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