Removable sets for Hölder continuous solutions of elliptic equations involving variable exponent (Q482766)
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scientific article; zbMATH DE number 6383575
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Removable sets for Hölder continuous solutions of elliptic equations involving variable exponent |
scientific article; zbMATH DE number 6383575 |
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Removable sets for Hölder continuous solutions of elliptic equations involving variable exponent (English)
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6 January 2015
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The authors prove the existence and continuity of solutions to obstacle problems \[ -\operatorname{div}A(x,\nabla u)+B(x,u)=0 \] with \(p(x)\)-type nonstandard growth, and establish the conditions of removability of closed sets for Hölder continuous solutions of the elliptic equations in the framework of variable exponent Sobolev spaces.
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variable exponent space
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removable set
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Hausdorff measure
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