Abstract
In this note we prove the existence of two proper biharmonic maps between the Euclidean ball of dimension bigger than four and Euclidean spheres of appropriate dimensions. We will also show that, in low dimensions, both maps are unstable critical points of the bienergy.
Original language | English |
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Article number | 23 |
Journal | Journal of Geometric Analysis |
Volume | 35 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2025 |
Austrian Fields of Science 2012
- 101006 Differential geometry
Keywords
- 53C43
- 58E20
- Proper biharmonic map
- Sphere
- Stability