Nonexistence of proper p-biharmonic maps and Liouville type theorems I: case of $$p\ge 2$$-Reference-Cited by-同舟云学术

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Nonexistence of proper p-biharmonic maps and Liouville type theorems I: case of $$p\ge 2$$

Published:2019-11-18 Issue:2 Volume:6 Page:409-426
ISSN:2296-9020
Container-title:Journal of Elliptic and Parabolic Equations
language:en
Short-container-title:J Elliptic Parabol Equ

Author:

Han Yingbo,Luo Yong

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Numerical Analysis,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s41808-019-00050-z.pdf

Reference25 articles.

1. Baird, P., Fardoun, A., Ouakkas, S.: Liouville-type theorems for biharmonic maps between Riemannian manifolds. Adv. Calc. Var. 3, 49–68 (2010)

2. Cao, X.Z., Luo, Y.: On $$p$$-biharmonic submanifolds in nonpositively curved manifolds. Kodai Math. J. 39(3), 567–578 (2016)

3. Chen, B.Y.: Some open problems and conjectures on submanifolds of finite type: recent development. Tamkang J. Math. 45(1), 87–108 (2014)

4. Eells, J., Lemaire, L.: A report on harmonic maps. Bull. Lond. Math. Soc. 10(1), 1–68 (1978)

5. Eells, J., Lemaire, L.: Selected topics in harmonic maps, Amer. Math. Soc., CBMS, 50 (1983)

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