2-harmonic maps and their first and second variational formulas

Authors

  • Jiang Guoying

DOI:

https://doi.org/10.1285/i15900932v28n1supplp209

Keywords:

harmonic maps, biharmonic maps, second variation formula

Abstract

In [1], J. Eells and L. Lemaire introduced the notion of a k-harmonic map. In this paper we study the case k = 2, derive the first and second variational formulas of the 2-harmonic maps, give nontrivial examples of 2-harmonic maps and give proofs of nonexistence theorems of stable 2-harmonic maps.

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Published

01-10-2008

Issue

Volume 28, suppl. 1 (2008)

Section

Articoli

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