Abstract
We show that the spherical capacity is discontinuous on a
smooth family of ellipsoidal shells. Moreover, we prove that the shell
capacity is discontinuous on a family of open sets with smooth connected
boundaries.
| Original language | English |
|---|---|
| Pages (from-to) | 299-307 |
| Number of pages | 9 |
| Journal | Journal of Fixed Point Theory and its Applications |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2014 |
Keywords
- Symplectic capacities
- discontinuity
- helicity
- symplectic embeddings
- holomorphic spheres
- nonsqueezing