\(p\)-harmonic maps and convex functions (Q1282305)
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scientific article; zbMATH DE number 1270438
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(p\)-harmonic maps and convex functions |
scientific article; zbMATH DE number 1270438 |
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\(p\)-harmonic maps and convex functions (English)
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29 March 2000
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The following theorem is proved. Let \(M\) be a complete noncompact Riemannian manifold, \(N\) a simply connected Riemannian manifold of nonpositive curvature, and \(\varphi:M\to N\) a \(C^1\) \(p\)-harmonic map. Then \(\varphi\) is constant, provided that \(\int_M\|d\varphi \|^{p-1}< \infty\).
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convex function
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\(p\)-harmonic map
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