Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth (Q503124)
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scientific article; zbMATH DE number 6673678
| Language | Label | Description | Also known as |
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| English | Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth |
scientific article; zbMATH DE number 6673678 |
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Calderón-Zygmund estimates for a class of obstacle problems with nonstandard growth (English)
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11 January 2017
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In this paper higher integrability results are established for solutions to a class of obstacle problems with nonstandard growth conditions. More precisely, the author proves the so called Calderón-Zygmund type estimates assuming \( L^p(\cdot)\log(L)\)-growth. The author also gives suitable conditions on the variable exponent \(p(\cdot)\) and the coefficients of the obstacle problems to get these higher integrability results.
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nonstandard growth
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obstacle problem
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Calderón-Zygmund estimate
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variable exponent
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