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Some results of the \(f\)-biharmonic maps and applications. (English) Zbl 1387.31010

Summary: In this paper, we give some properties of the \(f\)-biharmonic maps, in the particular case represented by conformal maps between equidimensional manifolds. We construct a new example of the \(f\)-biharmonic maps and we characterize the \(p\)-biharmonicity of some particular cases.

MSC:

31C05 Harmonic, subharmonic, superharmonic functions on other spaces
58E20 Harmonic maps, etc.
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