Regularity of solutions to the \(G\)-Laplace equation involving measures (Q2344902)
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| Language | Label | Description | Also known as |
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| English | Regularity of solutions to the \(G\)-Laplace equation involving measures |
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Regularity of solutions to the \(G\)-Laplace equation involving measures (English)
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19 May 2015
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Summary: We establish regularity of solutions to the equation \(-\Delta_Gu= \mu\), provided that \(\mu (B_r(x_0))\leq Cr^\beta\) for any ball \(B_r(x_0)\subset \Omega\) with \(r\leq 1\), where \(\beta>0\) and \(G\) satisfies certain structural conditions.
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\(G\)-Laplacian
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Radon measure
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Hölder continuity
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regularity
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