Abstract
In this paper, we generalize to p-harmonic mapssome gap results known for harmonic maps. In particular, we prove that,under a certain level of energy depending on the curvature of the domainand target manifolds, the only p-harmonic maps are theconstant ones. The main tools are Bochner–Weitzenböck andReilly-type formulas involving the p-Laplace operator.
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Matei, AM. Gap Phenomena for p-Harmonic Maps. Annals of Global Analysis and Geometry 18, 541–554 (2000). https://doi.org/10.1023/A:1006634508327
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DOI: https://doi.org/10.1023/A:1006634508327