Partial Hölder regularity for elliptic systems with non-standard growth (Q1686031)
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scientific article; zbMATH DE number 6820560
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial Hölder regularity for elliptic systems with non-standard growth |
scientific article; zbMATH DE number 6820560 |
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Partial Hölder regularity for elliptic systems with non-standard growth (English)
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20 December 2017
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The author considers the system \[ \nabla\cdot\big(\mathbf{a}(x,u,Du)\big)=0. \] Partial regularity of any weak solution to this problem is shown -- that is, any weak solution \(u\) is shown to be Hölder continuous with exponent \(\beta\), for any \(\beta\in (0,1)\), on a set of full measure. In addition to this, the author also studies a related problem in the double phase setting.
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elliptic system
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partial regularity of solutions
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double phase problem
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