\(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\) (Q5949158)
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scientific article; zbMATH DE number 1673389
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\) |
scientific article; zbMATH DE number 1673389 |
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\(C^{1,\alpha}\) local regularity for the solutions of the \(p\)-Laplacian on the Heisenberg group for \(2 \leq p < 1 + \sqrt{5}\) (English)
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14 November 2001
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Summary: We prove local Hölder continuity of the homogeneous gradient for weak solutions \(u \in W^{1,p}_{\text{loc}}\) of the \(p\)-Laplacian on the Heisenberg group \(H^n\) for \(2 \leq p < 1 + \sqrt{5}\).
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weak solutions
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higher differentiability
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