Riemannian starshape and capacitary problems
We prove the Riemannian version of a classical Euclidean result: every level set of the capacitary potential of a starshaped ring is starshaped. In the Riemannian setting, we restrict ourselves to starshaped rings in a warped product of an open interval and the unit sphere. We also extend the result by replacing the Laplacian with the q -Laplacian.
Authors
- Kazuhiro Ishige (ORCID: https://orcid.org/0000-0003-4799-7592)
- Asuka Takatsu (ORCID: https://orcid.org/0000-0002-9654-6133)
- Paolo Salani
Institutions
- University of Florence (IT)
- Tokyo Metropolitan University (JP)
- The University of Tokyo (JP)
Publication Details
- Journal
- Nonlinear Analysis Real World Applications
- Published
- 2025-03-23
- DOI
- https://doi.org/10.1016/j.nonrwa.2025.104368
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00