| Abstract: |
| Among planar curves, the $p$-bending energy is defined by the $L^p$-norm of the signed curvature,
and critical points of the $p$-bending energy under the fixed length constraint are called $p$-elasticae.
The aim of this talk is to give a complete classification of planar $p$-elasticae.
A key point is to introduce a new type of generalization of the Jacobi elliptic functions,
which also leads us to optimal regularity of planar $p$-elasticae.
This talk is based on a joint work with Prof. Tatsuya Miura (Tokyo Institute of Technology), and its arXiv identifier is2203.08535. |
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