On the Dirichlet problem for \(p\)-harmonic maps. II: Targets with special structure (Q2802133)
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scientific article; zbMATH DE number 6573164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Dirichlet problem for \(p\)-harmonic maps. II: Targets with special structure |
scientific article; zbMATH DE number 6573164 |
Statements
25 April 2016
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Dirichlet problem
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\(p\)-harmonic maps
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Cartan-Hadamard manifolds
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rotationally symmetric
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compact hyperbolic manifolds
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maximum principle
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0.9651876
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0.91241264
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0.9088477
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0.9069463
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0.9061359
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0.9056632
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On the Dirichlet problem for \(p\)-harmonic maps. II: Targets with special structure (English)
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The authors develop new geometric techniques to deal with the Dirichlet problem for \(p\)-harmonic maps from compact manifolds with boundary to Cartan-Hadamard target manifolds which are either 2-dimensional or rotationally symmetric. The proposed geometric construction might be useful in more general settings where the analytic problem is related to different functionals, since the relevant properties of the \(p\)-energy required by the method are: (a) the solvability of the problem when the target is compact and (b) provides a maximum principle for regular enough solutions.NEWLINENEWLINEFor Part I see [the authors, Geom. Dedicata 177, 307--322 (2015; Zbl 1327.58019)].
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