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Stability of \(p\)-harmonic maps - MaRDI portal

Stability of \(p\)-harmonic maps (Q1210385)

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scientific article; zbMATH DE number 179105
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English
Stability of \(p\)-harmonic maps
scientific article; zbMATH DE number 179105

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    Stability of \(p\)-harmonic maps (English)
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    8 August 1993
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    Let \(M\) be compact and \(f:M \to N\) a totally geodesic isometric immersion. Then \(f\) is stable for the functional \(\int \| df \|^ p\) for \(p \geq 2+ \dim M\) iff \(f\) is stable as a minimal immersion. The authors give several applications -- mostly for maps between compact symmetric spaces.
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    \(p\)-harmonic maps
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    stability
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