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A compactness result for \(p\)-harmonic maps - MaRDI portal

A compactness result for \(p\)-harmonic maps (Q1848269)

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scientific article; zbMATH DE number 1832807
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A compactness result for \(p\)-harmonic maps
scientific article; zbMATH DE number 1832807

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    A compactness result for \(p\)-harmonic maps (English)
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    13 March 2003
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    This paper is devoted to a compactness result for \(p\)-harmonic maps. More precisely for \(p>1\) the author proves a compactness result for \(p\)-harmonic maps with values in \(S^k\), the \((k+1)\)-dimensional sphere. He obtains the existence of weak solutions of the \(p\)-harmonic flow with values in \(S^k\) for each \(k\geq 1\) and \(p>1\).
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    weak solutions
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    \(p\)-harmonic flow
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