2 papers
math.AP2025
Stability of flat-core pinned p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
We classify the stability of flat-core -elasticae in subject to the pinned boundary condition. Together with previous work, this completes the classification of s…
math.AP2025
Variational stabilization of degenerate p-elasticae
Tatsuya Miura, Kensuke Yoshizawa
A new stabilization phenomenon induced by degenerate diffusion is discovered in the context of pinned planar -elasticae. It was known that in the non-degenerate regime $p\in(1,2…