On the higher integrability for certain nonlinear problems. (Q621530)
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scientific article; zbMATH DE number 5844179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the higher integrability for certain nonlinear problems. |
scientific article; zbMATH DE number 5844179 |
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On the higher integrability for certain nonlinear problems. (English)
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2 February 2011
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The local higher integrability for gradients of solutions to a large class of elliptic equations of the type \(\operatorname {div}A(x,\nabla u)=0\) is studied. By investigation of the deviation (in a suitable sense) of the operator \(A\) to be constant with respect to \(x\) the higher integrability is established.
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elliptic equation
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strong nonlinearity
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degree of integrability of gradients
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