Liouville-type theorems for weighted p-harmonic 1-forms and weighted p-harmonic maps

Pacific Journal of Mathematics ◽

10.2140/pjm.2020.305.291 ◽

2020 ◽

Vol 305 (1) ◽

pp. 291-310

Author(s):

Keomkyo Seo ◽

Gabjin Yun

Keyword(s):

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems

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On stable quasi-harmonic maps and Liouville type theorems

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-02-06499-7 ◽

2002 ◽

Vol 130 (11) ◽

pp. 3415-3422 ◽

Author(s):

Deliang Hsu ◽

Chunqin Zhou

Keyword(s):

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems

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Liouville-Type Theorems for CC-F-Harmonic Maps into a Carnot Group

Journal of Geometric Analysis ◽

10.1007/s12220-020-00424-z ◽

2020 ◽

Author(s):

Guoqing He ◽

Jing Li ◽

Peibiao Zhao

Keyword(s):

Carnot Group ◽

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems

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Liouville type theorems for p-harmonic maps

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2007.12.018 ◽

2008 ◽

Vol 342 (1) ◽

pp. 354-360 ◽

Author(s):

Dong Joo Moon ◽

Huili Liu ◽

Seoung Dal Jung

Keyword(s):

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems

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Liouville-type theorems for F-harmonic maps on non-compact manifolds

Kodai Mathematical Journal ◽

10.2996/kmj/1134397762 ◽

2005 ◽

Vol 28 (3) ◽

pp. 483-493 ◽

Author(s):

Jiancheng Liu

Keyword(s):

Harmonic Maps ◽

Compact Manifolds ◽

Liouville Type ◽

Liouville Type Theorems

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Exponentially harmonic maps, Morse index and Liouville type theorems

European Journal of Mathematics ◽

10.1007/s40879-019-00362-3 ◽

2019 ◽

Vol 6 (4) ◽

pp. 1388-1402

Author(s):

Yuan-Jen Chiang

Keyword(s):

Morse Index ◽

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems

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Liouville-type theorems for CC-harmonic maps from Riemannian manifolds to pseudo-Hermitian manifolds

Annals of Global Analysis and Geometry ◽

10.1007/s10455-017-9547-3 ◽

2017 ◽

Vol 52 (1) ◽

pp. 25-44

Author(s):

Tian Chong ◽

Yuxin Dong ◽

Yibin Ren

Keyword(s):

Riemannian Manifolds ◽

Harmonic Maps ◽

Liouville Type ◽

Hermitian Manifolds ◽

Liouville Type Theorems

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Riemannian Polyhedra and Liouville-Type Theorems for Harmonic Maps

Analysis and Geometry in Metric Spaces ◽

10.2478/agms-2014-0012 ◽

2014 ◽

Vol 2 (1) ◽

Author(s):

Zahra Sinaei

Keyword(s):

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems

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Liouville Type Theorems of f-Harmonic Maps with Potential

Results in Mathematics ◽

10.1007/s00025-014-0363-9 ◽

2014 ◽

Vol 66 (1-2) ◽

pp. 43-64 ◽

Author(s):

Shuxiang Feng ◽

Yingbo Han

Keyword(s):

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems ◽

Harmonic Maps With Potential

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Liouville-Type Theorems on Complete Manifolds and Non-Existence of Bi-Harmonic Maps

Journal of Geometric Analysis ◽

10.1007/s12220-014-9521-2 ◽

2014 ◽

Vol 25 (4) ◽

pp. 2436-2449 ◽

Author(s):

Yong Luo

Keyword(s):

Harmonic Maps ◽

Liouville Type ◽

Liouville Type Theorems ◽

Complete Manifolds

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ENERGY ESTIMATES AND LIOUVILLE THEOREMS FOR HARMONIC MAPS

International Journal of Mathematics ◽

10.1142/s0129167x00000211 ◽

2000 ◽

Vol 11 (03) ◽

pp. 413-448 ◽

Author(s):

MARCO RIGOLI ◽

ALBERTO G. SETTI

Keyword(s):

Vector Bundle ◽

Riemannian Manifolds ◽

Harmonic Maps ◽

Energy Estimates ◽

Liouville Type ◽

Harmonic Forms ◽

Liouville Theorems ◽

Liouville Type Theorems

We obtain lower and upper energy estimates for harmonic maps between Riemannian manifolds under natural curvature conditions leading to various Liouville-type theorems. Some of the methods described may also be applied to vanishing-type problems for vector bundle-valued harmonic forms.

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