Higher differentiability for a class of obstacle problems with nearly linear growth conditions (Q2039122)
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scientific article; zbMATH DE number 7367168
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Higher differentiability for a class of obstacle problems with nearly linear growth conditions |
scientific article; zbMATH DE number 7367168 |
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Higher differentiability for a class of obstacle problems with nearly linear growth conditions (English)
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2 July 2021
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Summary: We establish higher differentiability results of integer order for solutions to a class of obstacle problems with nearly linear growth, provided that we assume a suitable extra integer differentiability property of Sobolev order on the gradient of the obstacle. Our results cover a large class of models for which the Lavrentiev phenomenon does not appear.
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variational inequalities
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obstacle problems
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higher differentiability
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nearly linear growth
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