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A note on
p-harmonic l-forms on complete manifolds
Liang-Chu Chang and Chiung-Jue Anna Sung |
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Vol. 254 (2011), No. 2, 295–307
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Abstract |
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Let (Mm,g) be an m-dimensional complete noncompact manifold. We show that for all p > 1 and l > 1, any bounded set of p-harmonic l-forms in Lq(M), with 0 < q < ∞, is relatively compact with respect to the uniform convergence topology if the curvature operator of M is asymptotically nonnegative. |
Keywords
curvature operator, p-harmonic
l-forms, p-harmonic map
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Mathematical Subject Classification 2010
Primary: 58A10
Secondary: 53C21
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Milestones
Received: 12 January 2011
Accepted: 18 April 2011
Published: 27 February 2012
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Authors |
| Liang-Chu Chang | |
| Center for General Education National Formosa University Huwei, Yunlin County 632 Taiwan |
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| Chiung-Jue Anna Sung | |
| Department of Mathematics National Tsing Hua University Hsinchu 30013 Taiwan |
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