林俊吉Lin, Chun-Chi林珈璟Lin, Jia-Jing2022-06-082021-10-242022-06-082021https://etds.lib.ntnu.edu.tw/thesis/detail/a6a69dc50de1cdf444cdae6d95e5a0f3/http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/117047noneIn this paper, we will discuss the stability of p-elastic curves with p ∈ (1,∞).We derive the first variation and second variation of p-elastic energy of curves,and obtain the induced Euler-Lagrange equation and stability operator, which isused to study the stability of equilibrium solutions.We mainly focus on p-elastic curves in a two dimensional plane.noneStabilityp-elastic curvesStability of p-elastic curvesStability of p-elastic curves學術論文