Gap Phenomena for p-Harmonic Maps

Gap Phenomena for p-Harmonic Maps

In this paper, we generalize to p-harmonic maps some gap results known for harmonic maps. In particular, we prove that, under a certain level of energy depending on the curvature of the domain and target manifolds, the only p-harmonic maps are the constant ones. The main tools are Bochner-Weitzenboc...

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Veröffentlicht in:Annals of global analysis and geometry 2000-12, Vol.18 (6), p.541
1. Verfasser: Ana-Maria Matei
Format: Artikel
Sprache:eng
Schlagworte:
Energy
Equality
Geometry
Mathematical models
Studies
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Zusammenfassung:In this paper, we generalize to p-harmonic maps some gap results known for harmonic maps. In particular, we prove that, under a certain level of energy depending on the curvature of the domain and target manifolds, the only p-harmonic maps are the constant ones. The main tools are Bochner-Weitzenbock and Reilly-type formulas involving the p-Laplace operator. [PUBLICATION ABSTRACT]
ISSN:0232-704X
1572-9060
DOI:10.1023/A:1006634508327