Coercivity inequality for the quasilinear finite difference operator (Q2744621)
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scientific article; zbMATH DE number 1652712
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coercivity inequality for the quasilinear finite difference operator |
scientific article; zbMATH DE number 1652712 |
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28 July 2002
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coercivity inequality
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finite difference operator
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quasilinear elliptic operator
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Sobolev imbedding theorems
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0.90167105
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0.8975166
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0.88838875
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0.8874482
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0.88501954
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0.8787211
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0.87176317
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Coercivity inequality for the quasilinear finite difference operator (English)
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This paper deals with a coercivity inequality for the finite difference operator that approximates the \(m\)-dimensional \((m= 2,3)\) Neumann boundary value problem for a quasilinear elliptic operator of the second-order on the unit cube. Specially, for \(m=3\) the author assumes that the differential operator contains no mixed derivatives. The obtained results are based on discrete analogues of the Sobolev imbedding theorems.
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