期刊
KODAI MATHEMATICAL JOURNAL
卷 37, 期 2, 页码 453-474出版社
KINOKUNIYA CO LTD
DOI: 10.2996/kmj/1404393898
关键词
elastica; p-Laplacian; generalized complete elliptic integrals; flat-core solution
类别
资金
- Japan Society for the Promotion of Science [24540199]
- Grants-in-Aid for Scientific Research [24540199] Funding Source: KAKEN
Planar elastica problem is a classical but has broad connections with various fields, such as elliptic functions, differential geometry, soliton theory, material mechanics, etc. This paper regards classical elastica as a theory corresponding to Lebesgue L-2 case, and extends it to L-p cases. For the sake of the effect of p-Laplacian, novel curious solutions appear especially for cases p > 2. These solutions never appear in 1 < p <= 2 cases and we call them flat-core solutions according to Takeuchi [6, 7].
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